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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 diff3051526=0.200=20.0%diff.

b. the one-sample z test for p.

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

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 diff3051526=0.200=20.0%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

Music and memory Does listening to music while studying help or hinder students鈥 learning? Two statistics students designed an experiment to find out. They selected a random sample of 30students from their medium-sized high school to participate. Each subject was given 10minutes to memorize two different lists of 20words, once while listening to music and once in silence. The order of the two word lists was determined at random; so was the order of the treatments. The difference (Silence 鈭 Music) in the number of words recalled was recorded for each subject. The mean difference was 1.57and the standard deviation of the differences was 2.70.

a. If the result of this study is statistically significant, can you conclude that the difference in the ability to memorize words was caused by whether students were performing the task in silence or with music playing? Why or why not?

b. Do the data provide convincing evidence at the=0.01 significance level that the number of words recalled in silence or when listening to music differs, on average, for students at this school?

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

I want red!A candy maker offers Child and Adult bags of jelly beans with

different color mixes. The company claims that the Child mix has 30%red jelly beans, while the Adult mix contains 15%red jelly beans. Assume that the candy maker鈥檚 claim is true. Suppose we take a random sample of 50jelly beans from the Child mix and a separate random sample of 100jelly beans from the Adult mix. Let p^Cand p^Abe the sample proportions of red jelly beans from the Child and

Adult mixes, respectively.

a. What is the shape of the sampling distribution of p^C-p^A? Why?

b. Find the mean of the sampling distribution.

c. Calculate and interpret the standard deviation of the sampling distribution.

Sports Illustrated planned to ask a random sample of Division I college athletes, 鈥淒o you believe performance-enhancing drugs are a problem in college sports?鈥 Which of the following is the smallest number of athletes that must be interviewed to estimate the true proportion who believe performance-enhancing drugs are a problem within 2% with 90% confidence?

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Each day I am getting better in math A "subliminal" message is below our threshold of awareness but may nonetheless influence us. Can subliminal messages help students learn math? A group of 18students who had failed the mathematics part of the City University of New York Skills Assessment Test agreed to participate in a study to find out. All received a daily subliminal message, flashed on a screen too rapidly to be consciously read. The treatment group of 10students (assigned at random) was exposed to "Each day I am getting better in math." The control group of 8students was exposed to a neutral message, "People are walking on the street." All 18students participated in a summer program designed to improve their math skills, and all took the assessment test again at the end of the program. The following table gives data on the subjects' scores before and after the program.

a. Explain why a two-sample t-test and not a paired t-test is the appropriate inference procedure in this setting.

b. The following boxplots display the differences in pretest and post-test scores for the students in the control (C) and treatment (T) groups. Write a few sentences comparing the performance of these two groups.

c. Do the data provide convincing evidence at the =0.01,3051526=0.200=20%significance level that subliminal messages help students like the ones in this study learn math, on average?

d. Can we generalize these results to the population of all students who failed the mathematics part of the City University of New York Skills Assessment Test? Why or why not?

Friday the 13thRefer to Exercise 88.

a. Construct and interpret a 90%confidence interval for the true mean difference. If you already defined parameters and checked conditions in Exercise 88, you don鈥檛 need to do them again here.

b. Explain how the confidence interval provides more information than the test in Exercise 88.

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