{"id":4877,"date":"2022-08-16T17:06:52","date_gmt":"2022-08-16T17:06:52","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/?post_type=chapter&p=4877"},"modified":"2022-08-16T17:29:34","modified_gmt":"2022-08-16T17:29:34","slug":"13a-coreq","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/chapter\/13a-coreq\/","title":{"raw":"13A Coreq","rendered":"13A Coreq"},"content":{"raw":"In the next preview assignment and in the next class, you will need to be able to\u00a0 calculate the mean and standard deviation of a variable, create a histogram, describe\u00a0 the shape and spread of a histogram, and define null and alternative hypotheses for\u00a0 one-sided and two-sided hypothesis tests for means.\r\n\r\nAges of Best Actress\/Actor Winners from the Oscars\r\n\r\nFor Questions 1\u20135: Use the DCMP Describing and Exploring Quantitative Variables tool\u00a0 at https:\/\/dcmathpathways.shinyapps.io\/EDA_quantitative\/ and the \u201cOscars: Age\u201d dataset to answer the following questions. The dataset has 184 observations of the\u00a0 ages of the best actress\/actor winners from movies from the Oscars awards\u00a0 ceremonies.\r\n
\r\n

Question 1<\/h3>\r\n1) What is the mean age of the best actress\/actor winners?\r\n\r\n<\/div>\r\n \r\n
\r\n

Question 2<\/h3>\r\n2) What is the standard deviation of the ages?\r\n\r\n<\/div>\r\n \r\n
\r\n

Question 3<\/h3>\r\n3) What are the minimum and maximum values of ages of the best actress\/actor\u00a0 winners from the Oscars?\r\n\r\n<\/div>\r\n \r\n
\r\n

Question 4<\/h3>\r\n4) Use the data analysis tool to create a histogram of the ages of the best actress\/actor\u00a0 winners from the Oscars. Describe the shape and spread of the histogram.\r\n\r\n<\/div>\r\n \r\n
\r\n

Question 5<\/h3>\r\n5) What are the two hypotheses you need to write down if you are conducting a\u00a0 hypothesis test?\r\n\r\n<\/div>\r\n \r\n
\r\n

Question 6<\/h3>\r\n6) Are the two hypotheses in Question 5 saying something about the sample or the\u00a0 population?\r\n\r\n<\/div>\r\n \r\n
\r\n

Question 7<\/h3>\r\n7) In the context of the \u201cOscars: Age\u201d dataset, a hypothesis test investigating the mean\u00a0 age of the best actress\/actor winners would focus on which of the following?\r\n\r\na) The number of actresses and actors who won best actress\/actor\r\n\r\nb) The minimum number actresses and actors who won best actress\/actor\r\n\r\nc) How likely it is to observe data like the sample we obtained about the mean age of\u00a0 the best actress\/actor winners if the null hypothesis is true\r\n\r\n<\/div>\r\n \r\n
\r\n

Question 8<\/h3>\r\n8) Determine whether this statement is true or false: The alternative hypothesis is\u00a0 always that the population parameter(s) is not equal to some hypothesized value.\r\n\r\n<\/div>\r\n \r\n
\r\n

Question 9<\/h3>\r\n9) If the null hypothesis that we are trying to reject is that a population parameter is\u00a0 equal to some value and the alternative is that the population parameter is not equal\u00a0 to this value, what type of test do we have?\r\n\r\na) A one-tailed test\r\n\r\nb) A two-tailed test\r\n\r\n<\/div>\r\n ","rendered":"

In the next preview assignment and in the next class, you will need to be able to\u00a0 calculate the mean and standard deviation of a variable, create a histogram, describe\u00a0 the shape and spread of a histogram, and define null and alternative hypotheses for\u00a0 one-sided and two-sided hypothesis tests for means.<\/p>\n

Ages of Best Actress\/Actor Winners from the Oscars<\/p>\n

For Questions 1\u20135: Use the DCMP Describing and Exploring Quantitative Variables tool\u00a0 at https:\/\/dcmathpathways.shinyapps.io\/EDA_quantitative\/ and the \u201cOscars: Age\u201d dataset to answer the following questions. The dataset has 184 observations of the\u00a0 ages of the best actress\/actor winners from movies from the Oscars awards\u00a0 ceremonies.<\/p>\n

\n

Question 1<\/h3>\n

1) What is the mean age of the best actress\/actor winners?<\/p>\n<\/div>\n

 <\/p>\n

\n

Question 2<\/h3>\n

2) What is the standard deviation of the ages?<\/p>\n<\/div>\n

 <\/p>\n

\n

Question 3<\/h3>\n

3) What are the minimum and maximum values of ages of the best actress\/actor\u00a0 winners from the Oscars?<\/p>\n<\/div>\n

 <\/p>\n

\n

Question 4<\/h3>\n

4) Use the data analysis tool to create a histogram of the ages of the best actress\/actor\u00a0 winners from the Oscars. Describe the shape and spread of the histogram.<\/p>\n<\/div>\n

 <\/p>\n

\n

Question 5<\/h3>\n

5) What are the two hypotheses you need to write down if you are conducting a\u00a0 hypothesis test?<\/p>\n<\/div>\n

 <\/p>\n

\n

Question 6<\/h3>\n

6) Are the two hypotheses in Question 5 saying something about the sample or the\u00a0 population?<\/p>\n<\/div>\n

 <\/p>\n

\n

Question 7<\/h3>\n

7) In the context of the \u201cOscars: Age\u201d dataset, a hypothesis test investigating the mean\u00a0 age of the best actress\/actor winners would focus on which of the following?<\/p>\n

a) The number of actresses and actors who won best actress\/actor<\/p>\n

b) The minimum number actresses and actors who won best actress\/actor<\/p>\n

c) How likely it is to observe data like the sample we obtained about the mean age of\u00a0 the best actress\/actor winners if the null hypothesis is true<\/p>\n<\/div>\n

 <\/p>\n

\n

Question 8<\/h3>\n

8) Determine whether this statement is true or false: The alternative hypothesis is\u00a0 always that the population parameter(s) is not equal to some hypothesized value.<\/p>\n<\/div>\n

 <\/p>\n

\n

Question 9<\/h3>\n

9) If the null hypothesis that we are trying to reject is that a population parameter is\u00a0 equal to some value and the alternative is that the population parameter is not equal\u00a0 to this value, what type of test do we have?<\/p>\n

a) A one-tailed test<\/p>\n

b) A two-tailed test<\/p>\n<\/div>\n

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