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Chapter 10: Q 12. (page 446)

Each of Problems 12-17 provides a type of sampling (independent or paired), sample size(s), and a figure showing the results of preliminary dafa analyses on the sample(s). For independen samples, the graphs are for the nwo samples; for a paired sample, the graphs are for the paired differences. The intent is to employ the sample data fo perform a hypothesis test to compare the means of the two populations from which the duta were obtained. In each case, decide which if ary; of the procedures that you have studied should be applied.

Paired;n=75;Fig.10.11

Short Answer

Expert verified

The pairedt-test procedure would be appropriate for the given situation.

Step by step solution

01

Step 1:Given information

02

Step 2:Explaination

Assumptions for pooled t-test:

- The selected sample should be a simple random sample from two populations.

- The samples are independent of one another.

- Population is approximately normal.

- Equal population standard deviations

Assumptions for nonpooled t-test:

- The selected sample should be a simple random sample from two populations.

- The samples are independent of one another.

- Population is approximately normal.

Assumptions for paired t-test:

- The selected sample should be a simple random paired sample.

- The difference is approximately normal.

- The Sample size is large.

Explanation:

From normal probability plot in Figure 10.11the distribution of data is approximately normally distributed and the sample size is larger=75 Moreover, there is no outlier.

Thus, the assumption for paired t-test procedure is met. Hence, the paired t-test is preferable. Thus, the paired t-test procedure would be appropriate for the given situation.

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Most popular questions from this chapter

The intent is to employ the sample data to perform a hypothesis test to compare the means of the two populations from which the data were obtained. In each case, decide which of the procedures should be applied.

Paired: n=18.

Stressed-Out Bus Drivers. An intervention program designed by the Stockholm Transit District was implemented to improve the work conditions of the city's bus drivers. Improvements were evaluated by G. Evans et al., who collected physiological and psychological data for bus drivers who drove on the improved routes (intervention) and for drivers who were assigned the normal routes (control). Their findings were published in the article "Hassles on the Job: A Study of a Job Intervention with Urban Bus Drivers" (Journal of Organizational Behavior, Vol. 20, pp. 199-208). Following are data, based on the results of the study, for the heart rates, in beats per minute, of the intervention and control drivers.

a. At the 5%significance level, do the data provide sufficient evidence to conclude that the intervention program reduces mean heart rate of urban bus drivers in Stockholm? (Note; x1=67.90, s1=5.49,x炉2=66.81and s2=9.04.

b. Can you provide an explanation for the somewhat surprising results of the study?

c. Is the study a designed experiment or an observational study? plain your answer.

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The sample standard deviations are 23.6 and 25.2, and each sample size is 25 .

Suppose that the sample sizes, n4and n2, are equal for independent simple random samples from two populations.

a. Show that the values of the pooled and nonpooled r-statistics will be identical. (Hint: Refer to Exercise 10.61 on page 417.)

b. Explain why part (a) does not imply that the two t-tests are Equivalent (i.e., will necessarily lead to the same conclusion) when the sample sizes are equal.
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