{"id":2911,"date":"2021-12-07T20:39:46","date_gmt":"2021-12-07T20:39:46","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/?post_type=chapter&p=2911"},"modified":"2023-12-05T09:55:51","modified_gmt":"2023-12-05T09:55:51","slug":"appendix-e-solution-sheets","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/chapter\/appendix-e-solution-sheets\/","title":{"raw":"Appendix E: Solution Sheets","rendered":"Appendix E: Solution Sheets"},"content":{"raw":"
\r\n

Hypothesis Testing with One Sample<\/h1>\r\n

Class Time: __________________________<\/p>\r\n\r\n

<\/div>\r\nName: _____________________________________\r\n
    \r\n \t
  1. H0<\/sub><\/em>: _______<\/li>\r\n \t
  2. Ha<\/sub><\/em>: _______<\/li>\r\n \t
  3. In words, CLEARLY<\/strong> state what your random variable X<\/span>\u23af\u23af\u23af<\/span><\/span><\/span><\/span><\/span><\/span><\/span> or P<\/span>\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span> represents.<\/li>\r\n \t
  4. State the distribution to use for the test.<\/li>\r\n \t
  5. What is the test statistic?<\/li>\r\n \t
  6. What is the p<\/em>-value? In one or two complete sentences, explain what the p<\/em>-value means for this problem.<\/li>\r\n \t
  7. Use the previous information to sketch a picture of this situation. CLEARLY, label and scale the horizontal axis and shade the region(s) corresponding to the p<\/em>-value.\r\n
    \"This<\/span><\/figure>\r\n<\/li>\r\n \t
  8. Indicate the correct decision (\u201creject\u201d or \u201cdo not reject\u201d the null hypothesis), the reason for it, and write an appropriate conclusion, using complete sentences<\/strong>.\r\n
      \r\n \t
    1. Alpha: _______<\/li>\r\n \t
    2. Decision: _______<\/li>\r\n \t
    3. Reason for decision: _______<\/li>\r\n \t
    4. Conclusion: _______<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
    5. Construct a 95% confidence interval for the true mean or proportion. Include a sketch of the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval.\r\n
      \"This<\/span><\/figure>\r\n<\/li>\r\n<\/ol>\r\n<\/section>
      \r\n

      Hypothesis Testing with Two Samples<\/h1>\r\n

      Class Time: __________________________<\/p>\r\n\r\n

      <\/div>\r\nName: _____________________________________\r\n
        \r\n \t
      1. H0<\/sub><\/em>: _______<\/li>\r\n \t
      2. Ha<\/sub><\/em>: _______<\/li>\r\n \t
      3. In words, clearly<\/strong> state what your random variable X<\/span>\u23af\u23af\u23af<\/span><\/span>1<\/span><\/span>\u2212<\/span>X<\/span>\u23af\u23af\u23af<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>, P<\/span>\u2032<\/span><\/span>1<\/span><\/span>\u2212<\/span>P<\/span>\u2032<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> or X<\/span>\u23af\u23af\u23af<\/span><\/span>d<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> represents.<\/li>\r\n \t
      4. State the distribution to use for the test.<\/li>\r\n \t
      5. What is the test statistic?<\/li>\r\n \t
      6. What is the p<\/em>-value? In one to two complete sentences, explain what the p-value means for this problem.<\/li>\r\n \t
      7. Use the previous information to sketch a picture of this situation. CLEARLY<\/strong> label and scale the horizontal axis and shade the region(s) corresponding to the p<\/em>-value.\r\n
        \"This<\/span><\/figure>\r\n<\/li>\r\n \t
      8. Indicate the correct decision (\u201creject\u201d or \u201cdo not reject\u201d the null hypothesis), the reason for it, and write an appropriate conclusion, using complete sentences<\/strong>.\r\n
          \r\n \t
        1. Alpha: _______<\/li>\r\n \t
        2. Decision: _______<\/li>\r\n \t
        3. Reason for decision: _______<\/li>\r\n \t
        4. Conclusion: _______<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
        5. In complete sentences, explain how you determined which distribution to use.<\/li>\r\n<\/ol>\r\n<\/section>
          \r\n

          The Chi-Square Distribution<\/h1>\r\n

          Class Time: __________________________<\/p>\r\n\r\n

          <\/div>\r\nName: ____________________________________\r\n
            \r\n \t
          1. H0<\/sub><\/em>: _______<\/li>\r\n \t
          2. Ha<\/sub><\/em>: _______<\/li>\r\n \t
          3. What are the degrees of freedom?<\/li>\r\n \t
          4. State the distribution to use for the test.<\/li>\r\n \t
          5. What is the test statistic?<\/li>\r\n \t
          6. What is the p<\/em>-value? In one to two complete sentences, explain what the p<\/em>-value means for this problem.<\/li>\r\n \t
          7. Use the previous information to sketch a picture of this situation. Clearly<\/strong> label and scale the horizontal axis and shade the region(s) corresponding to the p<\/em>-value.\r\n
            \"This<\/span><\/figure>\r\n<\/li>\r\n \t
          8. Indicate the correct decision (\u201creject\u201d or \u201cdo not reject\u201d the null hypothesis) and write appropriate conclusions, using complete sentences.<\/strong>\r\n
              \r\n \t
            1. Alpha: _______<\/li>\r\n \t
            2. Decision: _______<\/li>\r\n \t
            3. Reason for decision: _______<\/li>\r\n \t
            4. Conclusion: _______<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ol>\r\n<\/section>
              \r\n

              F Distribution and One-Way ANOVA<\/h1>\r\n

              Class Time: __________________________<\/p>\r\n\r\n

              <\/div>\r\nName: ____________________________________\r\n
                \r\n \t
              1. H0<\/sub><\/em>: _______<\/li>\r\n \t
              2. Ha<\/sub><\/em>: _______<\/li>\r\n \t
              3. df<\/em>(n<\/em>) = ______ df<\/em>(d<\/em>) = _______<\/li>\r\n \t
              4. State the distribution to use for the test.<\/li>\r\n \t
              5. What is the test statistic?<\/li>\r\n \t
              6. What is the p<\/em>-value?<\/li>\r\n \t
              7. Use the previous information to sketch a picture of this situation. Clearly<\/strong> label and scale the horizontal axis and shade the region(s) corresponding to the p<\/em>-value.\r\n
                \"This<\/span><\/figure>\r\n<\/li>\r\n \t
              8. Indicate the correct decision (\u201creject\u201d or \u201cdo not reject\u201d the null hypothesis) and write appropriate conclusions, using complete sentences<\/strong>.\r\n
                  \r\n \t
                1. Alpha: _______<\/li>\r\n \t
                2. Decision: _______<\/li>\r\n \t
                3. Reason for decision: _______<\/li>\r\n \t
                4. Conclusion: _______<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ol>\r\n<\/section>","rendered":"
                  \n

                  Hypothesis Testing with One Sample<\/h1>\n

                  Class Time: __________________________<\/p>\n

                  <\/div>\n

                  Name: _____________________________________<\/p>\n

                    \n
                  1. H0<\/sub><\/em>: _______<\/li>\n
                  2. Ha<\/sub><\/em>: _______<\/li>\n
                  3. In words, CLEARLY<\/strong> state what your random variable X<\/span>\u23af\u23af\u23af<\/span><\/span><\/span><\/span><\/span><\/span><\/span> or P<\/span>\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span> represents.<\/li>\n
                  4. State the distribution to use for the test.<\/li>\n
                  5. What is the test statistic?<\/li>\n
                  6. What is the p<\/em>-value? In one or two complete sentences, explain what the p<\/em>-value means for this problem.<\/li>\n
                  7. Use the previous information to sketch a picture of this situation. CLEARLY, label and scale the horizontal axis and shade the region(s) corresponding to the p<\/em>-value.
                    \n
                    \"This<\/span><\/figure>\n<\/li>\n
                  8. Indicate the correct decision (\u201creject\u201d or \u201cdo not reject\u201d the null hypothesis), the reason for it, and write an appropriate conclusion, using complete sentences<\/strong>.\n
                      \n
                    1. Alpha: _______<\/li>\n
                    2. Decision: _______<\/li>\n
                    3. Reason for decision: _______<\/li>\n
                    4. Conclusion: _______<\/li>\n<\/ol>\n<\/li>\n
                    5. Construct a 95% confidence interval for the true mean or proportion. Include a sketch of the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval.
                      \n
                      \"This<\/span><\/figure>\n<\/li>\n<\/ol>\n<\/section>\n
                      \n

                      Hypothesis Testing with Two Samples<\/h1>\n

                      Class Time: __________________________<\/p>\n

                      <\/div>\n

                      Name: _____________________________________<\/p>\n

                        \n
                      1. H0<\/sub><\/em>: _______<\/li>\n
                      2. Ha<\/sub><\/em>: _______<\/li>\n
                      3. In words, clearly<\/strong> state what your random variable X<\/span>\u23af\u23af\u23af<\/span><\/span>1<\/span><\/span>\u2212<\/span>X<\/span>\u23af\u23af\u23af<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>, P<\/span>\u2032<\/span><\/span>1<\/span><\/span>\u2212<\/span>P<\/span>\u2032<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> or X<\/span>\u23af\u23af\u23af<\/span><\/span>d<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> represents.<\/li>\n
                      4. State the distribution to use for the test.<\/li>\n
                      5. What is the test statistic?<\/li>\n
                      6. What is the p<\/em>-value? In one to two complete sentences, explain what the p-value means for this problem.<\/li>\n
                      7. Use the previous information to sketch a picture of this situation. CLEARLY<\/strong> label and scale the horizontal axis and shade the region(s) corresponding to the p<\/em>-value.
                        \n
                        \"This<\/span><\/figure>\n<\/li>\n
                      8. Indicate the correct decision (\u201creject\u201d or \u201cdo not reject\u201d the null hypothesis), the reason for it, and write an appropriate conclusion, using complete sentences<\/strong>.\n
                          \n
                        1. Alpha: _______<\/li>\n
                        2. Decision: _______<\/li>\n
                        3. Reason for decision: _______<\/li>\n
                        4. Conclusion: _______<\/li>\n<\/ol>\n<\/li>\n
                        5. In complete sentences, explain how you determined which distribution to use.<\/li>\n<\/ol>\n<\/section>\n
                          \n

                          The Chi-Square Distribution<\/h1>\n

                          Class Time: __________________________<\/p>\n

                          <\/div>\n

                          Name: ____________________________________<\/p>\n

                            \n
                          1. H0<\/sub><\/em>: _______<\/li>\n
                          2. Ha<\/sub><\/em>: _______<\/li>\n
                          3. What are the degrees of freedom?<\/li>\n
                          4. State the distribution to use for the test.<\/li>\n
                          5. What is the test statistic?<\/li>\n
                          6. What is the p<\/em>-value? In one to two complete sentences, explain what the p<\/em>-value means for this problem.<\/li>\n
                          7. Use the previous information to sketch a picture of this situation. Clearly<\/strong> label and scale the horizontal axis and shade the region(s) corresponding to the p<\/em>-value.
                            \n
                            \"This<\/span><\/figure>\n<\/li>\n
                          8. Indicate the correct decision (\u201creject\u201d or \u201cdo not reject\u201d the null hypothesis) and write appropriate conclusions, using complete sentences.<\/strong>\n
                              \n
                            1. Alpha: _______<\/li>\n
                            2. Decision: _______<\/li>\n
                            3. Reason for decision: _______<\/li>\n
                            4. Conclusion: _______<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<\/section>\n
                              \n

                              F Distribution and One-Way ANOVA<\/h1>\n

                              Class Time: __________________________<\/p>\n

                              <\/div>\n

                              Name: ____________________________________<\/p>\n

                                \n
                              1. H0<\/sub><\/em>: _______<\/li>\n
                              2. Ha<\/sub><\/em>: _______<\/li>\n
                              3. df<\/em>(n<\/em>) = ______ df<\/em>(d<\/em>) = _______<\/li>\n
                              4. State the distribution to use for the test.<\/li>\n
                              5. What is the test statistic?<\/li>\n
                              6. What is the p<\/em>-value?<\/li>\n
                              7. Use the previous information to sketch a picture of this situation. Clearly<\/strong> label and scale the horizontal axis and shade the region(s) corresponding to the p<\/em>-value.
                                \n
                                \"This<\/span><\/figure>\n<\/li>\n
                              8. Indicate the correct decision (\u201creject\u201d or \u201cdo not reject\u201d the null hypothesis) and write appropriate conclusions, using complete sentences<\/strong>.\n
                                  \n
                                1. Alpha: _______<\/li>\n
                                2. Decision: _______<\/li>\n
                                3. Reason for decision: _______<\/li>\n
                                4. Conclusion: _______<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<\/section>\n\n\t\t\t
                                  \n\t\t\t

                                  Candela Citations<\/h3>\n\t\t\t\t\t
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                                  CC licensed content, Shared previously<\/div>