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Chapter 10: Q. 10.119 (page 441)

H2:μ1>μ2

Short Answer

Expert verified

Since the value of the test statistic is fall in the accepted region. Thus, the null hypothesis is not rejected.

Step by step solution

01

Given Information

The hypothesis is

H0:μ1=μ2,Ha:μ1>μ2

and the level of significance is 0.1.

02

Explanation: Step 2

Let's compute the sample mean

d¯=∑dn

=18

=0.125

The value of the standard deviation is:

sd=∑di2-∑di2nn-I

=113-(1)288-1

=4.0156

The test statistics are,

t=d¯sdn¯

Replace the above value in the given equation

z=0.1254.01568

=0.09

The value of degree of freedom is,

df=n-1

=8-1=7

The critical value for the level of significance of 0.1is -1.44.

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Most popular questions from this chapter

Suppose that you want to perform a hypothesis test to compare the means of two populations, using independent simple random samples. Assume that the two distributions of the variable under consideration have the same shape, but are not normal, and both sample sizes are large. Answer the following questions and explain your answers.

a. Is it permissible to use the pooled t-test to perform the hypothesis test?

b. Is it permissible to use the Mann-Whitney test to perform the hypothesis test?

c. Which procedure is preferable, the pooled t-test or the Mann-Whitney test?

Suppose that you want to perform a hypothesis test to compare the means of two populations, using independent simple random samples. Assume that the two distributions (one for each population) of the variable under consideration are normally distributed and have equal standard deviations. Answer the following questions and explain your answers.

a. Is it permissible to use the pooled t-test to perform the hypothesis test?

b. Is it permissible to use the Mann-Whitney test to perform the hypothesis test?

c. Which procedure is preferable, the pooled t-test or the Mann-Whitney test?

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.

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¯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.

The primary concern is deciding whether the mean of Population 2 is less than the mean of Population1.
See all solutions

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