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Chapter 10: Q.1.2 (page 608)
Find the mean and standard deviation of the sampling distribution. Show your work.
The required mean and standard deviation are and respectively.
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Thirty-five people from a random sample of workers from Company A admitted to using sick leave when they weren’t really ill. Seventeen employees from a random sample of workers from Company B admitted that they had used sick leave when they weren’t ill. A 95% confidence interval for the difference in the proportions of workers at the two companies who would admit to using sick leave when they weren’t ill is
(a)
(b) localid="1650367573248"
(c)
(d)
(e)
Refer exercise Suppose we select independent SRSs of men aged to and boys aged and calculate the sample mean heights and .
(a) Describe the shape, center, and spread of the sampling distribution of.
(b) Find the probability of getting a difference in sample means that’s less thanmg/dl. Show your work.
(c) Should we be surprised if the sample mean cholesterol level for the -year-old boys exceeds the sample mean cholesterol level for the men? Explain.
Coaching and SAT scores (10.1) What proportion of students who take the SAT twice are coached? To answer this question, Jannie decides to construct a confidence interval. Her work is shown below. Explain what’s wrong with Jannie’s method.
A CI for is
We are confident that the proportion of students taking the SAT twice who are coached is between and percentage points lower than students who aren’t coached.
Shortly before the presidential election, a survey was taken by the school newspaper at a very large state university. Randomly selected students were asked, “Whom do you plan to vote for in the upcoming presidential election?” Here is a two-way table of the responses by political persuasion for students:
Which of the following statements about these data is true?
(a) The percent of Republicans among the respondents is .
(b) The marginal distribution of the variable choice of candidate is given by Obama: ; McCain: ; Other:; Undecided: .
(c) About of Democrats reported that they planned to vote for McCain.
(d) About of those who are undecided are Independents.
(e) The conditional distribution of political persuasion among those for whom McCain is the candidate of choice is Democrat: ; Republican: ; Independent :
A certain candy has different wrappers for various holidays. During Holiday the candy wrappers are silver, red, and pink. During Holiday the wrappers are silver and blue. Forty pieces of candy are randomly selected from the Holiday distribution, and pieces are randomly selected from the Holiday distribution. What are the expected value and standard deviation of the total number of silver wrappers?
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