Homework_11_Solutions

Homework_11_Solutions - p-value = 0.051 f t =(Mean − null...

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Homework 11 Solutions 13.1 a. Not true. Hypotheses and conclusions are about the population. b. True. c. Not true. The correct conclusion if the null hypothesis cannot be rejected is to "fail to reject the null hypothesis." d. True. 13.2 a. The difference between the means of two populations. b. The population mean of paired differences. c. One population mean. d. The difference between the means of two populations. 13.14 a. H 0 : μ = 200, H a : μ < 200 where μ is the mean cholesterol level for the population of people similar to those in the control group. The hypotheses are stated in the first line of the output and the group to which they apply is stated as “control” in the last line under “Variable.” b. 193.13, read in the output under “Mean.” c. 30, read in the output under “N.” d. 07 . 4 30 30 . 22 = = n s e. Test statistic = 1.69 and
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Unformatted text preview: p-value = 0.051. f. t = (Mean − null value)/(SE Mean) = (193.13 − 200)/4.07 = − 1.688 rounded to − 1.69. g. Because the p-value is .051 > .05, do not reject the null hypothesis. There is not sufficient evidence to conclude that the mean cholesterol level for the population of people like the control patients is less than 200. Note: Some researchers would round off the p-value to two digits, and report it as .05. As a reader, you must use your own judgment about whether .051 is small enough to reject the null hypothesis. 13.15 a. Null standard error is 121 . 2 50 15 ) ( s.e. = = = n s x b. 943 . 121 . 2 100 102 error standard Null value Null-statistic Sample = − = c. No, to find the proper p-value we must know whether the alternative hypothesis is one-sided or two-sided....
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