Having the appropriate amount of water will increase or boost metabolism and reg- ulate body temperature. The basal metabolism of ten females was examined and recorded before and after drinking the appropriate amount of water (as displayed in the following table) to see if we can conclude that drinking an appropriate amount of water was helpful in increasing metabolism.

a. State the null and alternative hypotheses.

b. Describe what the test statistic is for the sign test. What is the value of the test statistic in this problem?

c. Which test is appropriate for this situation?

d. Is this a one-tailed test or a two-tailed test? Find the rejection region for = 0.10.

e. Using a = 0.10, can we conclude drinking an appropriate amount of water was helpful in increasing metabolism?

f. At what level of significance could we reject Ho? g. Use the large-sample z statistic for testing the hypothesis in part

(a) using a = 0.10. (Note: Although the large-sample approximation is suggested for n 25, it works fairly well for values of n as small as 10). h. Compare the results of questions

(e) and (g). i. State the null and alternative hypotheses if the Wilcoxon signed-rank test is used on the data to see if we can conclude that drinking an appropriate amount of water was helpful in increasing metabolism. j. Describe the test statistic for the Wilcoxon signed-rank test. What is the value of the test statistic in this problem? k. Determine the rejection region for the Wilcoxon signed-rank test at the 5% signifi- cance level. 1. Using the Wilcoxon signed-rank test, can we conclude that drinking an appropriate amount was helpful in increasing metabolism? m. Find the p-value for the Wilcoxon signed-rank test. n. Use large-sample Wilcoxon signed-rank test for testing the hypothesis in part (i). o. Compare the results of parts (e), (1) and (n). p. Calculate Spearman's rank correlation coefficient r.. q. Do the data present sufficient evidence to indicate a correlation between x and y? Test using a = 0.05.

Transcribed Image Text:

After (y) 1150 1088 1090 1027 1151 1145 1199 950 1179 998 Before (x) 1105 1077 1020 989 1120 1099 1145 907 1131 988