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Chapter 10: Q. 95 (page 690)

There are two common methods for measuring the concentration of a pollutant in fish tissue. Do the two methods differ, on average? You apply both methods to each fish in a random sample of 18carp and use

a. the paired t test for 渭diff3051526=0.200=20.0%渭diff.

b. the one-sample z test for p.

c. the two-sample t test for 渭1-渭23051526=0.200=20.0%渭1-渭2.

d. the two-sample z test for p1-p23051526=0.200=20.0%p1-p2.

e. none of these.

Short Answer

Expert verified

The correct option is:

a. the paired t test for 渭diff3051526=0.200=20.0%渭diff

Step by step solution

01

Step 1 -  Given information:

We have been given that:

Fish in a random sample of 18crap.

02

Step 2 -  Explanation:

Generally:

One percentage z-test/interval: one sample

Two proportions z-test/interval: two samples

a case study one mean, t-test/interval

There are two possibilities: on two samples t-test/interval

Using two samples of data, two means or mean difference: t-test/interval paired t-test

If you're looking for a difference, quality, rise, or decline, a test is a good way to go.

Use an interval to approximate the real value's range.

Because both procedures are used on the same sample, the paired t-test is used.

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Most popular questions from this chapter

A random sample of 100of last year鈥檚 model of a certain popular car found that 20had a specific minor defect in the brakes. The automaker adjusted the production process to try to reduce the proportion of cars with the brake problem. A random sample of 350of this year鈥檚 model found that 50had the minor brake defect.

a. Was the company鈥檚 adjustment successful? Carry out an appropriate test to support your answer. b. Based on your conclusion in part (a), which mistake鈥攁 Type I error or a Type II error鈥攃ould have been made? Describe a possible consequence of this error.

Let pM,pFbe the proportions of all college males and

females who worked last summer. The hypotheses to be tested are

a. H0:pM-pF=0versesHa:pM-pF鈮�0

b. H0:pM-pF=0versesHa:pM-pF>0

c. H0:pM-pF=0versesHa:pM-pF<0

d. H0:pM-pF>0versesHa:pM-pF=0

e.H0:pM-pF鈮�0versesHa:pM-pF=0

Drive-thru or go inside? Many people think it鈥檚 faster to order at the drive-thru than to order inside at fast-food restaurants. To find out, Patrick and William used a random number generator to select10times over a 2鈥�week period to visit a local Dunkin鈥� Donuts restaurant. At each of these times, one boy ordered an iced coffee at the drive-thru and the other ordered an iced coffee at the counter inside. A coin flip determined who went inside and who went to the drive-thru. The table shows the times, in seconds, that it took for each boy to receive his iced coffee after he placed the order.

Do these data provide convincing evidence at the 伪=0.05level of a difference in the true mean service time inside and at the drive-thru for this Dunkin鈥� Donuts restaurant?

Young adults living at home A surprising number of young adults (ages 19

to 25) still live in their parents鈥� homes. The National Institutes of Health surveyed

independent random samples of 2253men and 2629women in this age group. The survey found that 986 of the men and 923 of the women lived with their parents.

a. Construct and interpret a 99%confidence interval for the difference in the true

proportions of men and women aged 19-25who live in their parents鈥� homes.

b. Does your interval from part (a) give convincing evidence of a difference between the population proportions? Justify your answer.

Which of the following is the correct margin of error for a 99%confidence interval for the difference in the proportion of male and female college students who worked for pay last summer?

a. 2.5760.851(0.149)550+0.851(0.149)500

b. 2.5760.851(0.149)1050

c. 2.5760.880(0.120)550+0.820(0.180)500

d. 1.9600.851(0.149)550+0.851(0.149)500

e. 1.9600.880(0.120)550+0.820(0.180)500
See all solutions

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