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Chapter 10: Q.10.2 (page 404)

Define the phrase independent samples.

Short Answer

Expert verified

Independent samples means that a sample taken from one population should have no bearing on samples taken from another.

Step by step solution

01

Step i: Given information

To figure out what independent samples mean.

02

Explanation

Independent and dependent samples are utilised for comparing two populations. A demographic sample should have no bearing on other demographic samples. Each conceivable outcome has the same likelihood in independent samples.

Consider two populations, one male and the other female. Assume you need to make a pair of men and women. Because any male from one group can be matched with any female from the other, the samples become independent in this situation. Only specified males from the first population can be partnered with specific females from the second population if a sample value of married couples is required.

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Most popular questions from this chapter

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¯1=10.12,s1=4.90,x¯2=18.78, and s2=4.64.)

Wing Length. Refer to Exercise 10.86 and find a 999 con fidence interval for the difference between the mean wing lengths o the two subspecies.

In this Exercise, 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.

x¯1=20,s1=4,n1=10,x¯2=23,s2=5,n2=15

a. Left-tailed test,α=0.05

b. 90%confidence interval

Discuss the relative advantages and disadvantages of using pooled and non pooled -procedures.

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