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Paired or unpaired? In each of the following settings, decide whether you should use paired t procedures or two-sample t procedures to perform inference. Explain your choice. +3

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

(b) A random sample of college professors is taken.

We wish to compare the average salaries of male and female teachers.

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

Short Answer

Expert verified

a) Paired t procedures

b) Two-sample t procedures

c)Two-sample t procedures

Step by step solution

01

Part (a) Step 1: Given Information

To determine whether paired t-test or two-sample t-test should be used to conduct inference on the basis of the information provided.

02

Part (a) Step 2: Explanation

If a value in one sample has an associating value in another, paired tprocedures are employed; otherwise, two-sample ttechniques are utilized.

toperations that are paired

Because every participant in another sample has a littermate,

03

Part (b) Step 1: Given Information

To determine whether paired t-test or two-sample t-test should be used to conduct inference on the basis of the information provided.

04

Part (b) Step 2: Explanation

When a value in one sample corresponds to a value in the other, paired tmethods are employed; otherwise, two-sample tprocedures are utilized.

toperations with two samples

Because each sample has a large number of individuals,

05

Part (c) Step 1: Given Information

To determine whether paired t-test or two-sample t-test should be used to conduct inference on the basis of the information provided.

06

Part (c) Step 2: Explanation

If a value in one sample has a similar value in the other sample, paired tprocedures are employed; otherwise, two-sample tprocedures are utilized.

toperations with two samples

Because each sample has a variety of people,

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Most popular questions from this chapter

You can find the Excite Poll online at poll.excite.com. You simply click on a response to become part of the sample. The poll question for June 19,2005, was 鈥淒o you prefer watching first-run movies at a movie theater, or waiting until they are available on home video or pay-per-view?鈥 In all, 8896people responded, with only 12%(1118people) saying they preferred theaters. You can conclude that

(a) American adults strongly prefer home videos or pay-per-view.

(b) the high nonresponse rate prevents us from drawing a conclusion.

(c) the sample is too small to draw any conclusion.

(d) the poll uses voluntary response, so the results tell us little about all American adults.

(e) American adults strongly prefer seeing movies at a movie theater.

42. Long words Mary was interested in comparing the mean word length in articles from a medical journal and an airline鈥檚 in-flight magazine. She counted the number of letters in the first 200 words of an article in
the medical journal and in the first 100 words of an article in the airline magazine. Mary then used Minitab statistical software to produce the histograms shown.

Construct and interpret a 95%confidence interval for p1-p2 in Exercise 24. Explain what additional information the confidence interval provides.

National Park rangers keep data on the bears that inhabit their park. Below is a histogram of the weights of 143bears measured in a recent year.

Which statement below is correct?

(a) The median will lie in the interval (140,180), and the mean will lie in the interval (180,220).

(b) The median will lie in the interval (140,180), and the mean will lie in the interval (260,300).

(c) The median will lie in the interval (100,140), and the mean will lie in the interval (180,220).

(d) The mean will lie in the interval (140,180), and the median will lie in the interval (260,300).

(e) The mean will lie in the interval (100,140), and the median will lie in the interval (180,200).

The level of cholesterol in the blood for all men aged 20to 34follows a Normal distribution with mean 188milligrams per deciliter (mg/dl) and a standard deviation 41mg/dl. For 14-year-old boys, blood cholesterol levels follow a Normal distribution with a mean 170mg/dl and a standard deviation of 30mg/dl.

(a) Let M =the cholesterol level of a randomly selected 20to 34-year-old man and B =the cholesterol level of a randomly selected 14-year-old boy. Describe the shape, center, and spread of the distribution ofM-B

(b) Find the probability that a randomly selected 14-year-old boy has higher cholesterol than a randomly selected man aged 20to34. Show your work.

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