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Chapter 10: Q. 25 (page 670)
Suppose the null and alternative hypotheses for a significance test are defined as
Which of the following specific values for will give the highest power?
(a) role="math" localid="1653066322242"
(b)
(c)
(d)
The Specific values foris.
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Construct and interpret a confidence interval for in Exercise . Explain what additional information the confidence interval provides.
Which of the following will increase the power of a significance test?
(a) Increase the Typeerror probability.
(b) Increase the sample size.
(c) Reject the null hypothesis only if the P-value is smaller than the level of significance.
(d) Decrease the significance level .
(e) Select a value for the alternative hypothesis closer to the value of the null hypothesis.
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.
(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.
The level of cholesterol in the blood for all men aged to follows a Normal distribution with mean milligrams per deciliter (mg/dl) and a standard deviation mg/dl. For -year-old boys, blood cholesterol levels follow a Normal distribution with a mean mg/dl and a standard deviation of mg/dl.
(a) Let M the cholesterol level of a randomly selected to -year-old man and B =the cholesterol level of a randomly selected -year-old boy. Describe the shape, center, and spread of the distribution of
(b) Find the probability that a randomly selected -year-old boy has higher cholesterol than a randomly selected man aged to. Show your work.
48. Did the randomization produce similar groups? First, compare the two groups of birds in the first year. The only difference should be the
chance effect of the random assignment. The study report says: 鈥淚n the experimental year, the degree of synchronization did not differ between
food-supplemented and control females.鈥� For this comparison, the report gives .
(a) What type of statistic (one-sample, paired, or two-sample) is this? Justify your answer.
(b) Explain how this value of t leads to the quoted conclusion.
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