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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 μdiff3051526=0.200=20.0%μdiff.

b. the one-sample z test for p.

c. the two-sample t test for μ1-μ23051526=0.200=20.0%μ1-μ2.

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 μdiff3051526=0.200=20.0%μdiff

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

Digital video disks A company that records and sells rewritable DVDs wants to compare the reliability of DVD fabricating machines produced by two different manufacturers. They randomly select 500DVDs produced by each fabricator and find that 484of the disks produced by the first machine are acceptable and 480of the disks produced by the second machine are acceptable. If p1,p2are the proportions of acceptable DVDs produced by the first and second machines, respectively, check if the conditions for calculating a confidence interval for p1-p2are met.

Literacy Refer to Exercise 2.

a. Find the probability that the proportion of graduates who pass the test is at most 0.20higher than the proportion of dropouts who pass, assuming that the researcher’s report is correct.

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a. If the result of this study is statistically significant, can you conclude that the difference in shopping behavior is due to the effect of Friday the 13thon people’s behavior? Why or why not?

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c. Based on your conclusion in part (a), which type of error—a Type I error or a Type II error—could you have made? Explain your answer.

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