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Chapter 10: Q 5 (page 446)

What have you learned about the shape of the sampling distribution of x炉when the population has a Normal shape?

Short Answer

Expert verified

To detect difference between the population means when such differences exis

Step by step solution

01

Step 1:Given information

The population has a Normal shape

02

Step 2:Explaination

With the help of a paired sample, we can remove an extraneous source of variation. The sampling error thus made in estimating the differences between the populations mean will generally be smaller and,

therefore, more likely to detect difference between the population means when such differences exist.

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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 a paired sample. For each part, decide whether you would use the pairedt -test, the paired Wilcoxon signed-rank test, or neither of these tests if preliminary data analyses of the sample of paired differences suggest that the distribution of the paired-difference variable is

a. approximately normal.

b. highly skewed; the sample size is 20.

c. symmetric bimodal.

The primary concern is deciding whether the mean of Population 1 is greater than the mean of Population 2

Doing Time. Refer to Exercise 10.45 and obtain a 90% confidence interval for the difference between the mean times served by prisoners in the fraud and firearms offense categories.

The Federal Bureau of Prisons publishes data in Prison Statistics on the times served by prisoners released from federal institutions for the first time. Independent random samples of released prisoners in the fraud and firearms offense categories yielded the following information on time served, in months.

At the 5% significance level, do the data provide sufficient evidence to conclude that the meantime served for fraud is less than that for firearms offenses? (Note: x炉1=10.12,s1=4.90,x炉2=18.78, and s2=4.64.)

In each of Exercises 10.39-10.44, we have provided summary statistics for independent simple random samples from two populations. In each case, use the pooled t-test and the pooled t-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval.
10.39 x1=10,s1=2.1,n1=15,x2=12,s2=2.3,n2=15
a. Two-tailed test, 伪=0.05
b.95%confidence interval
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