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Chapter 10: Q. 10.34 (page 415)
10.34 Explain why is called the pooled sample standard deviation.
Let, aggregates data from both samples' variability into a single estimate of the population standard deviation's common value. As a result, pooled standard deviation is referred to as .
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In Exercise , you conducted a nonpooled -test to decide whether the mean number of acute postoperative days spent in the hospital is smaller with the dynamic system than with the static system. Use the technology of your choice to perform the following tasks.
a. Using a pooled-test, repeat that hypothesis test.
b. Compare your results from the pooled and nonpooled -tests.
c. Which test do you think is more appropriate, the pooled or nonpooled -test? Explain your answer.
The sample standard deviations are and , and each sample size is 25 .
In each of exercise 10.13-10.18, we have presented a confidence interval for the difference,, between two population means. interpret each confidence interval
CI from
Bergman et al. conducted a study to determine, among other things, the impact that scheduling recess before or after the lunch period has on wasted food for students in grades three through five. Results were published in the online article "The Relationship of Meal and Recess Schedules to Plate Waste in Elementary Schools" (Journal of Child Nutrition and Management, Vol. 28, Issue 2). Summary statistics for the amount of food wasted, in grams, by randomly selected students are presented in the following table.
At the significance level, do the data provide sufficient evidence to conclude that, in grades three through five, the mean amount of food wasted for lunches before recess exceeds that for lunches after recess?
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.
10.36
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