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Chapter 10: Q. 84 (page 687)

Explain why it is not appropriate to perform a paired ttest about the true mean difference (Male − Female) in literacy rates in Islamic countries.

Short Answer

Expert verified

All the conditions are not satisfied since the random condition and large sample is not satisfied and it is therefore not appropriate to determine the confidence interval for the population mean difference.

Step by step solution

01

Step 1. To find

Here we have to find why it is not appropriate to perform a paired t test about the true mean difference (Male − Female) in literacy rates in Islamic countries.

02

Step 2. Explanation

To answer the question we must find out if the three conditions are satisfied or not, which is as:

Random: It is not satisfied because the samples included largely Muslim nations and thus the small nations were ignored which implies no random sample.

Independent: It is satisfied because the sample of Muslim nations is less than of all population of Muslim nations.

Normal: It is not satisfied because the sample is not large and the distribution is not approximately Normal.

Thus, all the conditions are not satisfied since the random condition and large sample is not satisfied and it is therefore not appropriate to determine the confidence interval for the population mean difference.

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Most popular questions from this chapter

A researcher wished to compare the average amount of time spent in extracurricular activities by high school students in a suburban school district with that in a school district of a large city. The researcher obtained an SRS of 60high school students in a large suburban school district and found the mean time spent in extracurricular activities per week to be 6hours with a standard deviation of 3hours. The researcher also obtained an independent SRS of 40high school students in a large city school district and found the mean time spent in extracurricular activities per week to be 5hours with a standard deviation of 2hours. Suppose that the researcher decides to carry out a significance test of H0: μsuburban=μcity versus a two-sided alternativ

The P-value for the test is 0.048. A correct conclusion is to

a. fail to reject H0because0.048<α=0.05. There is convincing evidence of a difference in the average time spent on extracurricular activities by students in the suburban and city school districts.

b. fail to reject H0because 0.048<α=0.05. There is not convincing evidence of a difference in the average time spent on extracurricular activities by students in the suburban and city school districts.

c. fail to reject H0because0.048<α=0.05. There is convincing evidence that the average time spent on extracurricular activities by students in the suburban and city school districts is the same.

d. reject H0because 0.048<α=0.05. There is not convincing evidence of a difference in the average time spent on extracurricular activities by students in the suburban and city school districts.

e. reject H0because 0.048<α=0.05 . There is convincing evidence of a difference in the average time spent on extracurricular activities by students in the suburban and city school districts.

Stop doing homework! (4.3)Researchers in Spain interviewed 772513-year-olds about their homework habits—how much time they spent per night on homework and whether they got help from their parents or not—and then had them take a test with 24math questions and 24science questions. They found that students who spent between 90and 100minutes on homework did only a little better on the test than those who spent 60to 70minutes on homework. Beyond 100minutes, students who spent more time did worse than those who spent less time. The researchers concluded that 60to 70minutes per night is the optimum time for students to spend on homework.32 Is it appropriate to conclude that students who reduce their homework time from 120minutes to 70minutes will likely improve their performance on tests such as those used in this study? Why or why not? independent random samples from two populations of interest or from two groups in a randomized experiment, use two-sample t procedures for μ1−μ23051526=0.200=20.0%μ1-μ2

Which of the following is not a property of a binomial setting?

a. Outcomes of different trials are independent.

b. The chance process consists of a fixed number of trials, n.

c. The probability of success is the same for each trial.

d. Trials are repeated until a success occurs.

e. Each trial can result in either a success or a failure.

Two samples or paired data? In each of the following settings, decide whether you should use two-sample t procedures to perform inference about a difference in means or paired t procedures to perform inference about a mean difference. Explain your choice.

a. To compare the average weight gain of pigs fed two different diets, nine pairs of pigs were used. The pigs in each pair were littermates. A coin toss was used to decide which pig in each pair got Diet A and which got Diet B.

b. Separate random samples of male and female college professors are taken. We wish to compare the average salaries of male and female teachers.

c. To test the effects of a new fertilizer, 100 plots are treated with the new fertilizer, and 100 plots are treated with another fertilizer. A computer’s random number generator is used to determine which plots get which fertilizer.

Suppose the null and alternative hypothesis for a significance test are defined as

H0: μ=403051526=0.200=20.0%H0 : μ=40

Ha: μ<403051526=0.200=20.0%Ha : μ<40

Which of the following specific values for Ha will give the highest power? a. μ=383051526=0.200=20.0%μ=38

b. μ=393051526=0.200=20.0%μ=39

c. μ=413051526=0.200=20.0%μ=41

d. μ=423051526=0.200=20.0%μ=42

e. μ=43 3051526=0.200=20.0%μ=43
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