2. If we use the body temperatures from 8 A.M. on Day 2 as listed in Data Set 3 in Appendix B, we get the statistics given in the accompanying table. Use these data with a 0.01 significance level to test the claim that Women have a higher mean body temperature than Men. Women: n1 = 11 x?1 = 97.69°F s1 = 0.89°F Men: n2 = 59 x?2 = 97.45°F s2 = 0.66°F a. Test the claim using the P-value method or critical method. b. Construct a confidence interval suitable for testing given the claim.
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69 \), \( \bar{x}_2 = 97.45 \), \( s_1 = 0.89 \), \( s_2 = 0.66 \), \( n_1 = 110 \), and \( n_2 = 39 \). Show more…
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Listed below are body temperatures from seven subjects measured at two different times in a day (from Data Set 3 "Body Temperatures" in Appendix B). a. Use a $0.05$ significance level to test the claim that there is no difference between body temperatures measured at $8 \mathrm{AM}$ and at $12 \mathrm{AM}$. b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)? $$ \begin{array}{|c|c|c|c|c|c|c|c|} \hline \text { Body Temperature }\left({ }^{\circ} \mathrm{F}\right) \text { at } 8 \text { AM } & 96.6 & 97.0 & 97.0 & 97.8 & 97.0 & 97.4 & 96.6 \\ \hline \text { Body Temperature }\left({ }^{\circ} \mathrm{F}\right) \text { at } 12 \mathrm{AM} & 99.0 & 98.4 & 98.0 & 98.6 & 98.5 & 98.9 & 98.4 \\ \hline \end{array} $$
Inferences From Two Samples
Two Dependent Samples (Matched Pairs)
Refer to Data Set 3 "Body Temperatures" in Appendix B and use all of the matched pairs of body temperatures at 8 AM and 12 AM on Day 1 . When using a $0.05$ significance level for testing a claim of a difference between the temperatures at $8 \mathrm{AM}$ and at $12 \mathrm{AM}$ on Day 1 , how are the hypothesis test results and confidence interval results affected if the temperatures are converted from degrees Fahrenheit to degrees Celsius? What is the relationship between the confidence interval limits for the body temperatures in degrees Fahrenheit and the confidence interval limits for the body temperatures in degrees Celsius? Hint: $C=\frac{5}{9}(F-32)$.
Use the listed paired sample data, and assume that the samples are simple random samples and that the differences have a distribution that is approximately normal. Listed below are body temperatures from seven different subjects measured at two different times in a day (from Data Set 3 "Body Temperatures" in Appendix B). a. Use a 0.05 significance level to test the claim that there is no difference between body temperatures measured at $8 \mathrm{AM}$ and at $12 \mathrm{AM}$. b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)? $$\begin{array}{l|l|l|l|l|l|l|l} \hline \text { Body Temperature ("F) at 8 AM } & 96.6 & 97.0 & 97.0 & 97.8 & 97.0 & 97.4 & 96.6 \\ \hline \text { Body Temperature ('F) at 12 AM } & 99.0 & 98.4 & 98.0 & 98.6 & 98.5 & 98.9 & 98.4 \\ \hline \end{array}$$
Inferences from Two Samples
Two Dependent Samples
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