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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

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 $x_{1} = 10, s_{1} = 2.1, n_{1} = 15, x_{2} = 12, s_{2} = 2.3, n_{2} = 15$
a. Two-tailed test, $α = 0.05$
b. $95 %$ confidence interval

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 paired $t$ -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.

In each of exercise 10.13-10.18, we have presented a confidence interval for the difference, $μ_{1} - μ_{2}$ , between two population means. interpret each confidence interval

$99 %$ CI from $- 20 t o 15$

$H_{a} : μ_{1} \neq μ_{2}$

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

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