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Chapter 10: Q.10.4 (page 404)

Discuss the basic strategy for performing a hypothesis test to compare the means of two populations, based on independent samples.

Short Answer

Expert verified

To compare the means of two populations using an independent sample, a hypothesis test can be used as follows:

  • Take a sample of data from population 1 and a sample of data from population 2 at random.
  • Calculate the mean value of the samples from population 1 x1¯and the mean value of the samples from population 2 x2¯
  • If the sample meansx1¯andx2¯differ by too much, reject the null hypothesis; otherwise, do not reject the null hypothesis.

Step by step solution

01

Given information

Given in the question that, we need to discuss the basic strategy for performing a hypothesis test to compare the means of two populations, based on independent samples.

02

Explanation

The concept of independent and dependent samples is employed when comparing two populations. Independent samples means that a sample taken from one population should have no bearing on samples taken from another. In the case of independent samples, the chance of each conceivable outcome is the same.

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Most popular questions from this chapter

In each of Exercises 10.75-10.80, we have provided summary statistics for independent simple random samples form non populations. In each case, use the non pooled t-fest and the non 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=18,s2=5,n2=15.

a. Right-tailed test,localid="1651298373729" α=0.05.

b. 90%confidence interval.

Find a 90% confidence interval for the difference between the mean heart rates of urban bus drivers in Stockholm in the two environments

Data on household vehicle miles of travel (VMT) are compiled annually by the Federal Highway Administration and are published in the National Household Travel Survey, Summary of Travel Trends. Independent random samples of 15midwestern households and 14southern households provided the following data on last year's VMT, in thousands of miles.

At the 5%significance level, does there appear to be a difference in last year's mean VMT for midwestern and southern households? (Note: x¯1=16.23,s1=4.06,x¯2=17.69, and s2=4.42.)

The sample standard deviations are 23.6 and 59.2.

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