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Chapter 10: Q.10.131 (page 443)
Anorexia Treatment. Refer to Exercise 10.125 and find a confidence interval for the weight gain that would be obtained, on average, by using the family therapy treatment.
is the data's confidence interval.
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Cooling Down. Cooling down with a cold drink before exercise in the heat is believed to help an athlete perform. Researcher 1. Dugas explored the difference between cooling down with an ice slurry (slushy) and with cold water in the article "lce Slurry Ingestion Increases Running Time in the Heat" (Clinical Journal of Sports Medicine, Vol. 21, No, 6, pp. 541-542). Ten male participants drank a flavored ice slurry and ran on a treadmill in a controlled hot and humid environment. Days later, the same participants drank cold water and ran on a treadmill in the same bot and humid environment. The following table shows the times, in minutes, it took to fatigue on the treadmill for both the ice slurry and the cold water.
At the significance level, do the data provide sufficient evidence to conclude that, on average, cold water is less effective than ice slurry For optimizing athletic performance in the heat? (Note; The mean and standard deviation of the paired differences are minutes and minutes, respectively.)
Nigerian Spleen Length. Refer to Exercise 10.49 and determine a 99% confidence interval for the difference between mean spleen lengths of Nigerian males and females.
Two-Tailed Hypothesis Tests and CIs. As we mentioned on page , the following relationship holds between hypothesis tests and confidence intervals: For a two-tailed hypothesis test at the significance level , the null hypothesis will be rejected in favor of the alternative hypothesis if and only if the -level confidence interval for does not contain 0. In each case, illustrate the preceding relationship by comparing the results of the hypothesis test and confidence interval in the specified exercises.
a. Exercises and
b. Excrcises and
Provide an example (different from the ones considered in this section) of a procedure based on a paired sample being more appropriate than one based on independent samples.
In each of Exercises 10.35-10.38, we have provided summary statistics for independent simple random samples from two populations. Preliminary data analyses indicate that the variable under consideration is normally distributed on each population. Decide, in each case, whether use of the pooled -lest and pooled -interval procedure is reasonable. Explain your answer.
10.35
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