{"id":2194,"date":"2022-01-27T02:37:45","date_gmt":"2022-01-27T02:37:45","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/?post_type=chapter&#038;p=2194"},"modified":"2022-02-11T18:20:47","modified_gmt":"2022-02-11T18:20:47","slug":"18a","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/chapter\/18a\/","title":{"raw":"18A\/B","rendered":"18A\/B"},"content":{"raw":"<div align=\"center\">\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td>425<\/td>\r\n<td>469<\/td>\r\n<td>300<\/td>\r\n<td>490<\/td>\r\n<td>415<\/td>\r\n<td>285<\/td>\r\n<td>507<\/td>\r\n<td>336<\/td>\r\n<td>503<\/td>\r\n<td>442<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<div align=\"center\">\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td>307<\/td>\r\n<td>317<\/td>\r\n<td>251<\/td>\r\n<td>397<\/td>\r\n<td>294<\/td>\r\n<td>263<\/td>\r\n<td>406<\/td>\r\n<td>262<\/td>\r\n<td>391<\/td>\r\n<td>356<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<div align=\"center\">\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>Observation <\/strong><\/td>\r\n<td><strong>Car model<\/strong><\/td>\r\n<td><strong>kWh\/100 miles<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>1<\/td>\r\n<td>Porsche Taycan 4S Cross Turismo<\/td>\r\n<td>45<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>2<\/td>\r\n<td>Volkswagen ID.4 Pro S<\/td>\r\n<td>35<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>3<\/td>\r\n<td>Hyundai Kona Electric<\/td>\r\n<td>27<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>4<\/td>\r\n<td>Ford Mustang Mach-E RWD<\/td>\r\n<td>34<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>5<\/td>\r\n<td>Tesla Model S Performance<\/td>\r\n<td>35<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>6<\/td>\r\n<td>Tesla Model X Performance<\/td>\r\n<td>35<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>7<\/td>\r\n<td>Nissan Leaf SV\/SL<\/td>\r\n<td>32<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>8<\/td>\r\n<td>Tesla Model S Plaid<\/td>\r\n<td>33<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>9<\/td>\r\n<td>Volkswagen ID.4 Pro<\/td>\r\n<td>34<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>10<\/td>\r\n<td>BMW i3s<\/td>\r\n<td>30<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<div align=\"center\">\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>Random number<\/strong><\/td>\r\n<td><strong>kWh\/100 miles<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<div align=\"center\">\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>Random number<\/strong><\/td>\r\n<td><strong>kWh\/100 miles<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<div align=\"center\">\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td>Skill or Concept: I can . . .<\/td>\r\n<td>Questions to check your understanding<\/td>\r\n<td>Rating\r\nfrom 1 to 5<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Understand how fuel efficiency is measured for electric cars.<\/td>\r\n<td>1<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Use technology to generate random numbers.<\/td>\r\n<td>2<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Select a bootstrap sample and calculate its mean.<\/td>\r\n<td>2<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<img class=\"alignnone wp-image-2195\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/27022918\/Picture130-300x200.jpg\" alt=\"Two people putting things in the back of a car\" width=\"1034\" height=\"689\" \/> <img class=\"alignnone wp-image-2196\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/27022922\/Picture1313-300x59.png\" alt=\"A dotplot labeled \u201ckWh\/100 Miles Rating\u201d and numbered in increments of 5 from 25 to 45. There is a dot at approximately 27, a dot at approximately 30, a dot at approximately 32, a dot at approximately 33, two dots at approximately 34, three dots at approximately 35, and a dot at approximately 45.\" width=\"946\" height=\"186\" \/> <img class=\"alignnone wp-image-2197\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/27022927\/Picture1321-289x300.png\" alt=\"A selection menu. At the top, \u201cThe Bootstrap For One Sample\u201d is selected while \u201cBuild Sampling Distribution\u201d and \u201cGet Confidence Interval\u201d are unselected. Beneath these is a heading reading \u201cEnter Data,\u201d under which \u201cYour Own\u201d has been selected from a dropdown. To the right of this is text that reads \u201cEnter observations or copy &amp; paste from spreadsheet.\u201d Beneath the dropdown is another heading reading \u201cName of Variable\u201d and \u201ckWh\/100 Miles Rating\u201d has been input in the space below. The next heading says \u201cEnter observations (separated by space or comma)\u201d and in the input box below, it reads \u201c45, 35, 27, 34, 35, 35, 32, 33, 34, 30.\u201d The next heading reads \u201cSelect Plot Type\u201d and \u201cDotplot\u201d has been selected beneath it, while \u201cHistogram\u201d and \u201cAdjust Size of Dots\u201d are unselected. Under this is a line and then another heading, reading \u201cStatistic of Interest,\u201d which has \u201cMean\u201d selected from a dropdown beneath. Under that is a heading reading \u201cSelect how many bootstrap samples you want to generate\u201d and 1 has been selected. Underneath this is a button labeled \u201cDraw Bootstrap Sample(s)\u201d and another button labeled \u201cReset.\u201d\" width=\"1090\" height=\"1131\" \/> <img class=\"alignnone wp-image-2198\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/27022934\/Picture1331-300x135.png\" alt=\"Some tables and graphs. The first table is titled \u201cSummary Statistics For Bootstrap Distribution.\u201d The columns are \u201cBootstrap Samples,\u201d \u201cStatistic,\u201d \u201cUnique Values,\u201d \u201cMean,\u201d \u201cStandard Deviation,\u201d \u201cMin,\u201d \u201cQ1,\u201d \u201cMedian,\u201d \u201cQ3,\u201d and \u201cMax.\u201d The values are 1,000, Mean, 605, 417, 24.4, 346, 400, 419, 434, and 481. Beneath this table is a graph titled \u201cBootstrap Sampling Distribution\u201d and labeled \u201cSample Mean x bar\u201d on the x-axis and \u201cFrequency\u201d on the y-axis. The graph has a peak at approximately 420. There is a label reading \u201c2.5th Percentile\u201d at approximately 365, another label reading \u201cObserved Mean\u201d at approximately 420, and another label reading \u201c97.5th Percentile\u201d at approximately 465. Beneath this graph is another graph titled \u201c95% Bootstrap Confidence Interval\u201d and labeled \u201cPopulation Mean (C02 Emission Rating)\u201d on the x-axis. It has a point at approximately 415 with a range labeled as \u201c[367, 463].\u201d Beneath this is another table, this one titled \u201cBootstrap Percentile Confidence Interval.\u201d It has columns \u201cPopulation Parameter,\u201d \u201cPoint Estimate,\u201d \u201cLower Bound,\u201d \u201cUpper Bound,\u201d and \u201cConfidence Level.\u201d The values are \u201cMean,\u201d 417, 367, 463, and 95%.\" width=\"1044\" height=\"470\" \/> <img class=\"alignnone wp-image-2199\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/27022939\/Picture1341-300x186.png\" alt=\"A selection menu. At the top, \u201cGenerate Random Numbers\u201d has been selected, while \u201cRandom Numbers\u201d and \u201cCoin Flips\u201d are unselected. There is a heading reading \u201cChoose Minimum,\u201d under which \u201c1\u201d has been input, and to the right, there is a heading reading \u201cChoose Maximum,\u201d under which \u201c10\u201d has been input. Beneath these is another heading reading \u201cHow many numbers do you want to generate?\u201d with \u201c10\u201d input beneath it. To the right is another heading reading \u201cSample with Replacement?\u201d and there are selection options for \u201cNo\u201d and \u201cYes,\u201d where \u201cyes\u201d has been selected. Beneath these is two buttons, one reading \u201cGenerate\u201d and the other reading \u201cReset.\u201d\" width=\"944\" height=\"585\" \/>\r\n<div align=\"center\">\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td>0.1<\/td>\r\n<td>0.4<\/td>\r\n<td>0.6<\/td>\r\n<td>0.8<\/td>\r\n<td>1.3<\/td>\r\n<td>1.5<\/td>\r\n<td>1.6<\/td>\r\n<td>1.7<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>1.8<\/td>\r\n<td>1.8<\/td>\r\n<td>1.9<\/td>\r\n<td>1.9<\/td>\r\n<td>1.9<\/td>\r\n<td>2.0<\/td>\r\n<td>2.2<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td>0.1<\/td>\r\n<td>0.4<\/td>\r\n<td>0.6<\/td>\r\n<td>0.8<\/td>\r\n<td>1.3<\/td>\r\n<td>1.5<\/td>\r\n<td>1.6<\/td>\r\n<td>1.7<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>1.8<\/td>\r\n<td>1.8<\/td>\r\n<td>1.9<\/td>\r\n<td>1.9<\/td>\r\n<td>1.9<\/td>\r\n<td>2.0<\/td>\r\n<td>2.2<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<div align=\"center\">\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>Petting<\/strong><\/td>\r\n<td>114<\/td>\r\n<td>203<\/td>\r\n<td>217<\/td>\r\n<td>254<\/td>\r\n<td>256<\/td>\r\n<td>284<\/td>\r\n<td>296<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>Vocal praise<\/strong><\/td>\r\n<td>4<\/td>\r\n<td>7<\/td>\r\n<td>24<\/td>\r\n<td>25<\/td>\r\n<td>48<\/td>\r\n<td>71<\/td>\r\n<td>294<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<div align=\"center\">\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td>0.1<\/td>\r\n<td>0.4<\/td>\r\n<td>0.6<\/td>\r\n<td>0.8<\/td>\r\n<td>1.3<\/td>\r\n<td>1.5<\/td>\r\n<td>1.6<\/td>\r\n<td>1.7<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>1.8<\/td>\r\n<td>1.8<\/td>\r\n<td>1.9<\/td>\r\n<td>1.9<\/td>\r\n<td>1.9<\/td>\r\n<td>2.0<\/td>\r\n<td>2.2<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<div align=\"center\">\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td>Petting<\/td>\r\n<td>114<\/td>\r\n<td>203<\/td>\r\n<td>217<\/td>\r\n<td>254<\/td>\r\n<td>256<\/td>\r\n<td>284<\/td>\r\n<td>296<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Vocal praise<\/td>\r\n<td>4<\/td>\r\n<td>7<\/td>\r\n<td>24<\/td>\r\n<td>25<\/td>\r\n<td>48<\/td>\r\n<td>71<\/td>\r\n<td>294<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<div style=\"text-align: left;\" align=\"center\">\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td>Skill or Concept: I can . . .<\/td>\r\n<td>Questions to check your understanding<\/td>\r\n<td>Rating\r\nfrom 1 to 5<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Create a bootstrap confidence interval for a population median.<\/td>\r\n<td>1<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Determine when it is appropriate to use a two-sample t confidence interval to estimate a difference in means.<\/td>\r\n<td>2<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<img class=\"alignnone wp-image-2200\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/27023556\/Picture1351-300x56.png\" alt=\"A dotplot titled \u201cJump Distance (meters).\u201d There is a dot at 0.1, another at 0.4, another at 0.6, another at 0.8, another at 1.2, another at 1.5, another at 1.6, another at 1.7, two at 1.8, three at 1.9, another one at 2.0, and one more at 2.2.\" width=\"1248\" height=\"233\" \/>\r\n\r\n<span style=\"text-decoration: underline;\"><strong>Descriptive Statistics:<\/strong><\/span>\r\n<table style=\"border-collapse: collapse; width: 100%;\" border=\"1\">\r\n<tbody>\r\n<tr>\r\n<td style=\"width: 11.1111%;\">Group<\/td>\r\n<td style=\"width: 11.1111%;\">Sample Size<\/td>\r\n<td style=\"width: 11.1111%;\">Mean<\/td>\r\n<td style=\"width: 11.1111%;\">Std. Dev.<\/td>\r\n<td style=\"width: 11.1111%;\">Min<\/td>\r\n<td style=\"width: 11.1111%;\">Q1<\/td>\r\n<td style=\"width: 11.1111%;\">Median<\/td>\r\n<td style=\"width: 11.1111%;\">Q3<\/td>\r\n<td style=\"width: 11.1111%;\">Max<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 11.1111%;\">Petting<\/td>\r\n<td style=\"width: 11.1111%;\">7<\/td>\r\n<td style=\"width: 11.1111%;\">232.0<\/td>\r\n<td style=\"width: 11.1111%;\">61.7<\/td>\r\n<td style=\"width: 11.1111%;\">114<\/td>\r\n<td style=\"width: 11.1111%;\">210.0<\/td>\r\n<td style=\"width: 11.1111%;\">254<\/td>\r\n<td style=\"width: 11.1111%;\">270<\/td>\r\n<td style=\"width: 11.1111%;\">296<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 11.1111%;\">Vocal Praise<\/td>\r\n<td style=\"width: 11.1111%;\">7<\/td>\r\n<td style=\"width: 11.1111%;\">67.6<\/td>\r\n<td style=\"width: 11.1111%;\">102.5<\/td>\r\n<td style=\"width: 11.1111%;\">4<\/td>\r\n<td style=\"width: 11.1111%;\">15.5<\/td>\r\n<td style=\"width: 11.1111%;\">25<\/td>\r\n<td style=\"width: 11.1111%;\">59.5<\/td>\r\n<td style=\"width: 11.1111%;\">294<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<img class=\"alignnone wp-image-2203\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/27023610\/Picture1381-300x66.png\" alt=\"Two side-by-side dot plots labeled \u201cTime (in seconds)\u201d on the x-axis. The first plot is labeled \u201cPetting\u201d and has a point at approximately 115, another at approximately 205, another at approximately 215, two at approximately 255, another at approximately 285, and another at approximately 295. The second plot is labeled \u201cVocal Praise\u201d and has two dots at approximately 5, two at approximately 25, one at approximately 50, another at approximately 70, and another at approximately 295.\" width=\"855\" height=\"188\" \/>\r\n\r\nGlossary 18A\r\n<dl id=\"fs-id1170572229168\" class=\"definition\">\r\n \t<dt>sampling without replacement<\/dt>\r\n \t<dd id=\"fs-id1170572229174\">sampling where once an individual from the population is selected for the sample and data are recorded for that individual, they are not considered again when making additional selections from the population for that sample.<\/dd>\r\n<\/dl>\r\n<dl id=\"fs-id1170572229190\" class=\"definition\">\r\n \t<dt>sampling with replacement<\/dt>\r\n \t<dd id=\"fs-id1170572229195\">sampling where after an individual is selected for the sample and data are recorded for that individual, they are \u201creplaced\u201d (put back into the population) before the next selection is made.<\/dd>\r\n<\/dl>\r\n<dl id=\"fs-id1170572482608\" class=\"definition\">\r\n \t<dt>bootstrap sample<\/dt>\r\n \t<dd id=\"fs-id1170572482614\">a sample that is selected from the values in the original sample.<\/dd>\r\n<\/dl>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>","rendered":"<div style=\"margin: auto;\">\n<table>\n<tbody>\n<tr>\n<td>425<\/td>\n<td>469<\/td>\n<td>300<\/td>\n<td>490<\/td>\n<td>415<\/td>\n<td>285<\/td>\n<td>507<\/td>\n<td>336<\/td>\n<td>503<\/td>\n<td>442<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div style=\"margin: auto;\">\n<table>\n<tbody>\n<tr>\n<td>307<\/td>\n<td>317<\/td>\n<td>251<\/td>\n<td>397<\/td>\n<td>294<\/td>\n<td>263<\/td>\n<td>406<\/td>\n<td>262<\/td>\n<td>391<\/td>\n<td>356<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div style=\"margin: auto;\">\n<table>\n<tbody>\n<tr>\n<td><strong>Observation <\/strong><\/td>\n<td><strong>Car model<\/strong><\/td>\n<td><strong>kWh\/100 miles<\/strong><\/td>\n<\/tr>\n<tr>\n<td>1<\/td>\n<td>Porsche Taycan 4S Cross Turismo<\/td>\n<td>45<\/td>\n<\/tr>\n<tr>\n<td>2<\/td>\n<td>Volkswagen ID.4 Pro S<\/td>\n<td>35<\/td>\n<\/tr>\n<tr>\n<td>3<\/td>\n<td>Hyundai Kona Electric<\/td>\n<td>27<\/td>\n<\/tr>\n<tr>\n<td>4<\/td>\n<td>Ford Mustang Mach-E RWD<\/td>\n<td>34<\/td>\n<\/tr>\n<tr>\n<td>5<\/td>\n<td>Tesla Model S Performance<\/td>\n<td>35<\/td>\n<\/tr>\n<tr>\n<td>6<\/td>\n<td>Tesla Model X Performance<\/td>\n<td>35<\/td>\n<\/tr>\n<tr>\n<td>7<\/td>\n<td>Nissan Leaf SV\/SL<\/td>\n<td>32<\/td>\n<\/tr>\n<tr>\n<td>8<\/td>\n<td>Tesla Model S Plaid<\/td>\n<td>33<\/td>\n<\/tr>\n<tr>\n<td>9<\/td>\n<td>Volkswagen ID.4 Pro<\/td>\n<td>34<\/td>\n<\/tr>\n<tr>\n<td>10<\/td>\n<td>BMW i3s<\/td>\n<td>30<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div style=\"margin: auto;\">\n<table>\n<tbody>\n<tr>\n<td><strong>Random number<\/strong><\/td>\n<td><strong>kWh\/100 miles<\/strong><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div style=\"margin: auto;\">\n<table>\n<tbody>\n<tr>\n<td><strong>Random number<\/strong><\/td>\n<td><strong>kWh\/100 miles<\/strong><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div style=\"margin: auto;\">\n<table>\n<tbody>\n<tr>\n<td>Skill or Concept: I can . . .<\/td>\n<td>Questions to check your understanding<\/td>\n<td>Rating<br \/>\nfrom 1 to 5<\/td>\n<\/tr>\n<tr>\n<td>Understand how fuel efficiency is measured for electric cars.<\/td>\n<td>1<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Use technology to generate random numbers.<\/td>\n<td>2<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Select a bootstrap sample and calculate its mean.<\/td>\n<td>2<\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-2195\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/27022918\/Picture130-300x200.jpg\" alt=\"Two people putting things in the back of a car\" width=\"1034\" height=\"689\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-2196\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/27022922\/Picture1313-300x59.png\" alt=\"A dotplot labeled \u201ckWh\/100 Miles Rating\u201d and numbered in increments of 5 from 25 to 45. There is a dot at approximately 27, a dot at approximately 30, a dot at approximately 32, a dot at approximately 33, two dots at approximately 34, three dots at approximately 35, and a dot at approximately 45.\" width=\"946\" height=\"186\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-2197\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/27022927\/Picture1321-289x300.png\" alt=\"A selection menu. At the top, \u201cThe Bootstrap For One Sample\u201d is selected while \u201cBuild Sampling Distribution\u201d and \u201cGet Confidence Interval\u201d are unselected. Beneath these is a heading reading \u201cEnter Data,\u201d under which \u201cYour Own\u201d has been selected from a dropdown. To the right of this is text that reads \u201cEnter observations or copy &amp; paste from spreadsheet.\u201d Beneath the dropdown is another heading reading \u201cName of Variable\u201d and \u201ckWh\/100 Miles Rating\u201d has been input in the space below. The next heading says \u201cEnter observations (separated by space or comma)\u201d and in the input box below, it reads \u201c45, 35, 27, 34, 35, 35, 32, 33, 34, 30.\u201d The next heading reads \u201cSelect Plot Type\u201d and \u201cDotplot\u201d has been selected beneath it, while \u201cHistogram\u201d and \u201cAdjust Size of Dots\u201d are unselected. Under this is a line and then another heading, reading \u201cStatistic of Interest,\u201d which has \u201cMean\u201d selected from a dropdown beneath. Under that is a heading reading \u201cSelect how many bootstrap samples you want to generate\u201d and 1 has been selected. Underneath this is a button labeled \u201cDraw Bootstrap Sample(s)\u201d and another button labeled \u201cReset.\u201d\" width=\"1090\" height=\"1131\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-2198\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/27022934\/Picture1331-300x135.png\" alt=\"Some tables and graphs. The first table is titled \u201cSummary Statistics For Bootstrap Distribution.\u201d The columns are \u201cBootstrap Samples,\u201d \u201cStatistic,\u201d \u201cUnique Values,\u201d \u201cMean,\u201d \u201cStandard Deviation,\u201d \u201cMin,\u201d \u201cQ1,\u201d \u201cMedian,\u201d \u201cQ3,\u201d and \u201cMax.\u201d The values are 1,000, Mean, 605, 417, 24.4, 346, 400, 419, 434, and 481. Beneath this table is a graph titled \u201cBootstrap Sampling Distribution\u201d and labeled \u201cSample Mean x bar\u201d on the x-axis and \u201cFrequency\u201d on the y-axis. The graph has a peak at approximately 420. There is a label reading \u201c2.5th Percentile\u201d at approximately 365, another label reading \u201cObserved Mean\u201d at approximately 420, and another label reading \u201c97.5th Percentile\u201d at approximately 465. Beneath this graph is another graph titled \u201c95% Bootstrap Confidence Interval\u201d and labeled \u201cPopulation Mean (C02 Emission Rating)\u201d on the x-axis. It has a point at approximately 415 with a range labeled as \u201c[367, 463].\u201d Beneath this is another table, this one titled \u201cBootstrap Percentile Confidence Interval.\u201d It has columns \u201cPopulation Parameter,\u201d \u201cPoint Estimate,\u201d \u201cLower Bound,\u201d \u201cUpper Bound,\u201d and \u201cConfidence Level.\u201d The values are \u201cMean,\u201d 417, 367, 463, and 95%.\" width=\"1044\" height=\"470\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-2199\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/27022939\/Picture1341-300x186.png\" alt=\"A selection menu. At the top, \u201cGenerate Random Numbers\u201d has been selected, while \u201cRandom Numbers\u201d and \u201cCoin Flips\u201d are unselected. There is a heading reading \u201cChoose Minimum,\u201d under which \u201c1\u201d has been input, and to the right, there is a heading reading \u201cChoose Maximum,\u201d under which \u201c10\u201d has been input. Beneath these is another heading reading \u201cHow many numbers do you want to generate?\u201d with \u201c10\u201d input beneath it. To the right is another heading reading \u201cSample with Replacement?\u201d and there are selection options for \u201cNo\u201d and \u201cYes,\u201d where \u201cyes\u201d has been selected. Beneath these is two buttons, one reading \u201cGenerate\u201d and the other reading \u201cReset.\u201d\" width=\"944\" height=\"585\" \/><\/p>\n<div style=\"margin: auto;\">\n<table>\n<tbody>\n<tr>\n<td>0.1<\/td>\n<td>0.4<\/td>\n<td>0.6<\/td>\n<td>0.8<\/td>\n<td>1.3<\/td>\n<td>1.5<\/td>\n<td>1.6<\/td>\n<td>1.7<\/td>\n<\/tr>\n<tr>\n<td>1.8<\/td>\n<td>1.8<\/td>\n<td>1.9<\/td>\n<td>1.9<\/td>\n<td>1.9<\/td>\n<td>2.0<\/td>\n<td>2.2<\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<tbody>\n<tr>\n<td>0.1<\/td>\n<td>0.4<\/td>\n<td>0.6<\/td>\n<td>0.8<\/td>\n<td>1.3<\/td>\n<td>1.5<\/td>\n<td>1.6<\/td>\n<td>1.7<\/td>\n<\/tr>\n<tr>\n<td>1.8<\/td>\n<td>1.8<\/td>\n<td>1.9<\/td>\n<td>1.9<\/td>\n<td>1.9<\/td>\n<td>2.0<\/td>\n<td>2.2<\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div style=\"margin: auto;\">\n<table>\n<tbody>\n<tr>\n<td><strong>Petting<\/strong><\/td>\n<td>114<\/td>\n<td>203<\/td>\n<td>217<\/td>\n<td>254<\/td>\n<td>256<\/td>\n<td>284<\/td>\n<td>296<\/td>\n<\/tr>\n<tr>\n<td><strong>Vocal praise<\/strong><\/td>\n<td>4<\/td>\n<td>7<\/td>\n<td>24<\/td>\n<td>25<\/td>\n<td>48<\/td>\n<td>71<\/td>\n<td>294<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div style=\"margin: auto;\">\n<table>\n<tbody>\n<tr>\n<td>0.1<\/td>\n<td>0.4<\/td>\n<td>0.6<\/td>\n<td>0.8<\/td>\n<td>1.3<\/td>\n<td>1.5<\/td>\n<td>1.6<\/td>\n<td>1.7<\/td>\n<\/tr>\n<tr>\n<td>1.8<\/td>\n<td>1.8<\/td>\n<td>1.9<\/td>\n<td>1.9<\/td>\n<td>1.9<\/td>\n<td>2.0<\/td>\n<td>2.2<\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div style=\"margin: auto;\">\n<table>\n<tbody>\n<tr>\n<td>Petting<\/td>\n<td>114<\/td>\n<td>203<\/td>\n<td>217<\/td>\n<td>254<\/td>\n<td>256<\/td>\n<td>284<\/td>\n<td>296<\/td>\n<\/tr>\n<tr>\n<td>Vocal praise<\/td>\n<td>4<\/td>\n<td>7<\/td>\n<td>24<\/td>\n<td>25<\/td>\n<td>48<\/td>\n<td>71<\/td>\n<td>294<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div style=\"text-align: left; margin: auto;\">\n<table>\n<tbody>\n<tr>\n<td>Skill or Concept: I can . . .<\/td>\n<td>Questions to check your understanding<\/td>\n<td>Rating<br \/>\nfrom 1 to 5<\/td>\n<\/tr>\n<tr>\n<td>Create a bootstrap confidence interval for a population median.<\/td>\n<td>1<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Determine when it is appropriate to use a two-sample t confidence interval to estimate a difference in means.<\/td>\n<td>2<\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-2200\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/27023556\/Picture1351-300x56.png\" alt=\"A dotplot titled \u201cJump Distance (meters).\u201d There is a dot at 0.1, another at 0.4, another at 0.6, another at 0.8, another at 1.2, another at 1.5, another at 1.6, another at 1.7, two at 1.8, three at 1.9, another one at 2.0, and one more at 2.2.\" width=\"1248\" height=\"233\" \/><\/p>\n<p><span style=\"text-decoration: underline;\"><strong>Descriptive Statistics:<\/strong><\/span><\/p>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 11.1111%;\">Group<\/td>\n<td style=\"width: 11.1111%;\">Sample Size<\/td>\n<td style=\"width: 11.1111%;\">Mean<\/td>\n<td style=\"width: 11.1111%;\">Std. Dev.<\/td>\n<td style=\"width: 11.1111%;\">Min<\/td>\n<td style=\"width: 11.1111%;\">Q1<\/td>\n<td style=\"width: 11.1111%;\">Median<\/td>\n<td style=\"width: 11.1111%;\">Q3<\/td>\n<td style=\"width: 11.1111%;\">Max<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 11.1111%;\">Petting<\/td>\n<td style=\"width: 11.1111%;\">7<\/td>\n<td style=\"width: 11.1111%;\">232.0<\/td>\n<td style=\"width: 11.1111%;\">61.7<\/td>\n<td style=\"width: 11.1111%;\">114<\/td>\n<td style=\"width: 11.1111%;\">210.0<\/td>\n<td style=\"width: 11.1111%;\">254<\/td>\n<td style=\"width: 11.1111%;\">270<\/td>\n<td style=\"width: 11.1111%;\">296<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 11.1111%;\">Vocal Praise<\/td>\n<td style=\"width: 11.1111%;\">7<\/td>\n<td style=\"width: 11.1111%;\">67.6<\/td>\n<td style=\"width: 11.1111%;\">102.5<\/td>\n<td style=\"width: 11.1111%;\">4<\/td>\n<td style=\"width: 11.1111%;\">15.5<\/td>\n<td style=\"width: 11.1111%;\">25<\/td>\n<td style=\"width: 11.1111%;\">59.5<\/td>\n<td style=\"width: 11.1111%;\">294<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-2203\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/27023610\/Picture1381-300x66.png\" alt=\"Two side-by-side dot plots labeled \u201cTime (in seconds)\u201d on the x-axis. The first plot is labeled \u201cPetting\u201d and has a point at approximately 115, another at approximately 205, another at approximately 215, two at approximately 255, another at approximately 285, and another at approximately 295. The second plot is labeled \u201cVocal Praise\u201d and has two dots at approximately 5, two at approximately 25, one at approximately 50, another at approximately 70, and another at approximately 295.\" width=\"855\" height=\"188\" \/><\/p>\n<p>Glossary 18A<\/p>\n<dl id=\"fs-id1170572229168\" class=\"definition\">\n<dt>sampling without replacement<\/dt>\n<dd id=\"fs-id1170572229174\">sampling where once an individual from the population is selected for the sample and data are recorded for that individual, they are not considered again when making additional selections from the population for that sample.<\/dd>\n<\/dl>\n<dl id=\"fs-id1170572229190\" class=\"definition\">\n<dt>sampling with replacement<\/dt>\n<dd id=\"fs-id1170572229195\">sampling where after an individual is selected for the sample and data are recorded for that individual, they are \u201creplaced\u201d (put back into the population) before the next selection is made.<\/dd>\n<\/dl>\n<dl id=\"fs-id1170572482608\" class=\"definition\">\n<dt>bootstrap sample<\/dt>\n<dd id=\"fs-id1170572482614\">a sample that is selected from the values in the original sample.<\/dd>\n<\/dl>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"author":23592,"menu_order":61,"template":"","meta":{"_candela_citation":"[]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-2194","chapter","type-chapter","status-publish","hentry"],"part":704,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/2194","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/users\/23592"}],"version-history":[{"count":5,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/2194\/revisions"}],"predecessor-version":[{"id":3079,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/2194\/revisions\/3079"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/parts\/704"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/2194\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/media?parent=2194"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapter-type?post=2194"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/contributor?post=2194"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/license?post=2194"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}