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)? $$ \begin{array}{|c|c|c|c|c|c|c|c|} \hline \text { Body Temperature }\left({ }^{\circ} \mathrm{F}\right) \text { at } 8 \text { AM } & 96.6 & 97.0 & 97.0 & 97.8 & 97.0 & 97.4 & 96.6 \\ \hline \text { Body Temperature }\left({ }^{\circ} \mathrm{F}\right) \text { at } 12 \mathrm{AM} & 99.0 & 98.4 & 98.0 & 98.6 & 98.5 & 98.9 & 98.4 \\ \hline \end{array} $$
Added by Michael R.
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The null hypothesis (H0) is that there is no difference between body temperatures measured at 8 AM and 12 AM. The alternative hypothesis (H1) is that there is a difference between body temperatures measured at 8 AM and 12 AM. H0: μ1 - μ2 = 0 H1: μ1 - μ2 ≠ 0 Show more…
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Listed below are body temperatures of four subjects measured at two different times in a day. Test the claim that there is no difference between body temperatures measured at 8 A.M. Use a 0.05 significance level. Body temp. (∘F) at 8 AM: 98.0 97.0 98.6 97.4 Body temp. (∘F) at 12 AM: 98.0 97.6 98.8 98.0 1. Find the test statistic. 2. Find the P-Value. 3. Construct and interpret a confidence interval using a confidence level corresponding to this hypothesis test.
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The accompanying table lists body temperatures from 68 different randomly selected subjects measured at two different times in a day. Assume that the paired sample data are simple random samples and the differences have a distribution that is approximately normal. Complete parts (a) and (b) below. Click the icon to view the data on body temperatures. a. Use a 0.05 significance level to test the claim that there is no difference between body temperatures measured at 8 AM and at 12 AM. In this example, μd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the temperature at 8 AM minus the temperature at 12 AM. What are the null and alternative hypotheses for the hypothesis test? H0: μd H1: μd (Type integers or decimals. Do not round.)
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