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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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A random sample of 200 New York State voters included 88 Republicans, while a random sample of 300 California voters produced 141 Republicans. Which of the following represents the confidence interval that should be used to estimate the true difference in the proportions of Republicans in New York State and California?
(a)
(b)
(c)
(d)
(e)
Let represent the score when a fair six-sided die is rolled. For this random variable, and . If the die is rolled times, what is the approximate probability that the total score is at least?
45. Paying for college College financial aid offices expect students to use summer earnings to help pay for college. But how large are these earnings? One large university studied this question by asking a random sample of students who had summer jobs how much they earned. The financial aid office separated the responses into two groups based on gender. Here are the data in summary form:
(a) How can you tell from the summary statistics that the distribution of earnings in each group is strongly skewed to the right? A graph of the data reveals no outliers. The use of two-sample t procedures is still justified. why?
(b) Construct and interpret a confidence interval for the difference between the mean summer earnings of male and female students at this university.
(c) Interpret the confidence level in the context of this study.
According to sleep researchers, if you are between the ages of andyears old, you need hours of sleep to be fully functional. A simple random sample of students was chosen from a large high school, and these students were asked how much sleep they got the previous night. The mean of the responses was hours, with a standard deviation of hours.If we are interested in whether students at this high school are getting too little sleep, which of the following represents the appropriate null and alternative hypotheses?
(a)
(b)
(c)
(d)
(e)
Find the probability that is less than or equal to . Show your work.
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