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Chapter 10: Q.10.134 (page 443)

Cooling Down. Refer to Exercise 10.128 and find a 98% confidence interval for the difference between the mean times to fatigue on a treadmill in a hot and humid environment after cooling down with cold water and after cooling down with an ice slurry.

Short Answer

Expert verified

The data has a 98% confidence interval of (-7.33,-4.47).

Step by step solution

01

Given Information

The given data is,

SubjectCold waterIce slurry1525623743344524515853438638457414585058103844

02

Explanation

The null and alternative hypotheses are,

H0:μd=0

Ha:μd<0

The output of MINITAB is presented below.

-11.70,0are the test statistics and pvalues.

03

Explanation

Level of significance has a critical value of 2.821.

The confidence level is,

CI=d¯±ta2sdn

=-5.9±(2.821)1.610

=(-7.33,-4.47)

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Most popular questions from this chapter

Why do you need to know the sampling distribution of the difference between two sample means in order to perform a hypothesis test to compare two population means?

In this section, we introduced the pooled t-test, which provides a method for comparing two population means. In deriving the pooled f-test, we stated that the variable

z=f^1-x^2-μ1-μ2σ1/n1+1/n2

cannot be used as a basis for the required test statistic because σ is unknown. Why can't that variable be used as a basis for the required test statistic?

Discuss the basic strategy for comparing the means of two populations based on independent simple random samples.

In each of exercise 10.13-10.18, we have presented a confidence interval for the difference,μ1-μ2, between two population means. interpret each confidence interval

90%CI from-10to-5

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 1%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?
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