{"id":538,"date":"2022-05-18T16:40:40","date_gmt":"2022-05-18T16:40:40","guid":{"rendered":"https:\/\/pressbooks.ccconline.org\/accintrostats\/back-matter\/solution-sheets\/"},"modified":"2022-05-18T16:40:40","modified_gmt":"2022-05-18T16:40:40","slug":"solution-sheets","status":"publish","type":"back-matter","link":"https:\/\/pressbooks.ccconline.org\/accintrostats\/back-matter\/solution-sheets\/","title":{"raw":"Solution Sheets","rendered":"Solution Sheets"},"content":{"raw":" \n
\n

Hypothesis Testing with One Sample<\/h3>\n

Class Time: __________________________\n<\/span> Name: _____________________________________<\/p>\n\n

    \n \t
  1. H0<\/sub><\/em>: _______<\/li>\n \t
  2. Ha<\/sub><\/em>: _______<\/li>\n \t
  3. In words, CLEARLY<\/strong> state what your random variable \\(\\overline{X}\\) or \\({P}^{\\prime }\\) represents.<\/li>\n \t
  4. State the distribution to use for the test.<\/li>\n \t
  5. What is the test statistic?<\/li>\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>\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.\n
    \"This<\/span><\/div><\/li>\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>.\n
      \n \t
    1. Alpha: _______<\/li>\n \t
    2. Decision: _______<\/li>\n \t
    3. Reason for decision: _______<\/li>\n \t
    4. Conclusion: _______<\/li>\n<\/ol>\n<\/li>\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.\n
      \"This<\/span><\/div><\/li>\n<\/ol>\n<\/div>\n
      \n

      Hypothesis Testing with Two Samples<\/h3>\n

      Class Time: __________________________\n<\/span> Name: _____________________________________<\/p>\n\n

        \n \t
      1. H0<\/sub><\/em>: _______<\/li>\n \t
      2. Ha<\/sub><\/em>: _______<\/li>\n \t
      3. In words, clearly<\/strong> state what your random variable \\({\\overline{X}}_{1}-{\\overline{X}}_{2}\\), \\({{P}^{\\prime }}_{1}-{{P}^{\\prime }}_{2}\\) or \\({\\overline{X}}_{d}\\) represents.<\/li>\n \t
      4. State the distribution to use for the test.<\/li>\n \t
      5. What is the test statistic?<\/li>\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>\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.\n
        \"This<\/span><\/div><\/li>\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>.\n
          \n \t
        1. Alpha: _______<\/li>\n \t
        2. Decision: _______<\/li>\n \t
        3. Reason for decision: _______<\/li>\n \t
        4. Conclusion: _______<\/li>\n<\/ol>\n<\/li>\n \t
        5. In complete sentences, explain how you determined which distribution to use.<\/li>\n<\/ol>\n<\/div>\n
          \n

          The Chi-Square Distribution<\/h3>\n

          Class Time: __________________________\n<\/span> Name: ____________________________________<\/p>\n\n

            \n \t
          1. H0<\/sub><\/em>: _______<\/li>\n \t
          2. Ha<\/sub><\/em>: _______<\/li>\n \t
          3. What are the degrees of freedom?<\/li>\n \t
          4. State the distribution to use for the test.<\/li>\n \t
          5. What is the test statistic?<\/li>\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>\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.\n
            \"This<\/span><\/div><\/li>\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>\n
              \n \t
            1. Alpha: _______<\/li>\n \t
            2. Decision: _______<\/li>\n \t
            3. Reason for decision: _______<\/li>\n \t
            4. Conclusion: _______<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<\/div>\n
              \n

              F Distribution and One-Way ANOVA<\/h3>\n

              Class Time: __________________________\n<\/span> Name: ____________________________________<\/p>\n\n

                \n \t
              1. H0<\/sub><\/em>: _______<\/li>\n \t
              2. Ha<\/sub><\/em>: _______<\/li>\n \t
              3. df<\/em>(n<\/em>) = ______ df<\/em>(d<\/em>) = _______<\/li>\n \t
              4. State the distribution to use for the test.<\/li>\n \t
              5. What is the test statistic?<\/li>\n \t
              6. What is the p<\/em>-value?<\/li>\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.\n
                \"This<\/span><\/div><\/li>\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>.\n
                  \n \t
                1. Alpha: _______<\/li>\n \t
                2. Decision: _______<\/li>\n \t
                3. Reason for decision: _______<\/li>\n \t
                4. Conclusion: _______<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<\/div>","rendered":"

                   <\/p>\n

                  \n

                  Hypothesis Testing with One Sample<\/h3>\n

                  Class Time: __________________________
                  \n<\/span> 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 \\(\\overline{X}\\) or \\({P}^{\\prime }\\) 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><\/div>\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><\/div>\n<\/li>\n<\/ol>\n<\/div>\n
                      \n

                      Hypothesis Testing with Two Samples<\/h3>\n

                      Class Time: __________________________
                      \n<\/span> 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 \\({\\overline{X}}_{1}-{\\overline{X}}_{2}\\), \\({{P}^{\\prime }}_{1}-{{P}^{\\prime }}_{2}\\) or \\({\\overline{X}}_{d}\\) 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><\/div>\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<\/div>\n
                          \n

                          The Chi-Square Distribution<\/h3>\n

                          Class Time: __________________________
                          \n<\/span> 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><\/div>\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<\/div>\n
                              \n

                              F Distribution and One-Way ANOVA<\/h3>\n

                              Class Time: __________________________
                              \n<\/span> 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><\/div>\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<\/div>\n","protected":false},"author":32,"menu_order":99,"template":"","meta":{"pb_show_title":"","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"back-matter-type":[],"contributor":[],"license":[],"class_list":["post-538","back-matter","type-back-matter","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/pressbooks.ccconline.org\/accintrostats\/wp-json\/pressbooks\/v2\/back-matter\/538","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.ccconline.org\/accintrostats\/wp-json\/pressbooks\/v2\/back-matter"}],"about":[{"href":"https:\/\/pressbooks.ccconline.org\/accintrostats\/wp-json\/wp\/v2\/types\/back-matter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.ccconline.org\/accintrostats\/wp-json\/wp\/v2\/users\/32"}],"version-history":[{"count":0,"href":"https:\/\/pressbooks.ccconline.org\/accintrostats\/wp-json\/pressbooks\/v2\/back-matter\/538\/revisions"}],"metadata":[{"href":"https:\/\/pressbooks.ccconline.org\/accintrostats\/wp-json\/pressbooks\/v2\/back-matter\/538\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.ccconline.org\/accintrostats\/wp-json\/wp\/v2\/media?parent=538"}],"wp:term":[{"taxonomy":"back-matter-type","embeddable":true,"href":"https:\/\/pressbooks.ccconline.org\/accintrostats\/wp-json\/pressbooks\/v2\/back-matter-type?post=538"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.ccconline.org\/accintrostats\/wp-json\/wp\/v2\/contributor?post=538"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.ccconline.org\/accintrostats\/wp-json\/wp\/v2\/license?post=538"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}