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Chapter 7: Q AP2.13. (page 490)
The country with a literacy rate of is closest to which of the following
percentiles?
a.
b.
c.
d.
e. There is not enough information to calculate the percentile.
The correct option is (a)
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A 10-question multiple-choice exam offers 5 choices for each question. Jason just guesses the answers, so he has probability of getting any one answer correct. You want to perform a simulation to determine the number of correct answers that Jason gets. What would be a proper way to use a table of random digits to do this?
a. One digit from the random digit table simulates one answer, with 5 = correct and all other digits = incorrect. Ten digits from the table simulate 10 answers.
b. One digit from the random digit table simulates one answer, with 0 or 1 = correct and all other digits = incorrect. Ten digits from the table simulate 10 answers.
c. One digit from the random digit table simulates one answer, with odd = correct and even = incorrect. Ten digits from the table simulate 10 answers.
d. One digit from the random digit table simulates one answer, with 0 or 1 = correct and all other digits = incorrect, ignoring repeats. Ten digits from the table simulate 10 answers.
e. Two digits from the random digit table simulate one answer, with 00 to 20 = correct and 21 to 99 = incorrect. Ten pairs of digits from the table simulate 10 answers.
The number of undergraduates at Johns Hopkins University is approximately 2000 , while the number at Ohio State University is approximately 60,000. At both schools, a simple random sample of about of the undergraduates is taken. Each sample is used to estimate the proportion p of all students at that university who own an iPod. Suppose that, in fact, p=0.80 at both schools. Which of the following is the best conclusion?
a. We expect that the estimate from Johns Hopkins will be closer to the truth than the estimate from Ohio State because it comes from a smaller population.
b. We expect that the estimate from Johns Hopkins will be closer to the truth than the estimate from Ohio State because it is based on a smaller sample size.
c. We expect that the estimate from Ohio State will be closer to the truth than the estimate from Johns Hopkins because it comes from a larger population.
d. We expect that the estimate from Ohio State will be closer to the truth than the estimate from Johns Hopkins because it is based on a larger sample size.
e. We expect that the estimate from Johns Hopkins will be about the same distance from the truth as the estimate from Ohio State because both samples are 3 % of their populations.
The manufacturer of a certain brand of aluminum foil claims that the amount of foil on each roll follows a Normal distribution with a mean of square feet (ft2 ) and a standard deviation of ft2 . To test this claim, a restaurant randomly selects 10 rolls of this aluminum foil and carefully measures the mean area to be.
a. Find the probability that the sample mean area is or less if the manufacturer鈥檚 claim is true.
b. Based on your answer to part (a), is there convincing evidence that the company is overstating the average area of its aluminum foil rolls?
Why is it important to check the 10 % condition before calculating probabilities involving localid="1654670795605">
a. To reduce the variability of the sampling distribution of
b. To ensure that the distribution of is approximately Normal
c. To ensure that we can generalize the results to a larger population
d. To ensure that will be an unbiased estimator of
e. To ensure that the observations in the sample are close to independent
Five books An author has written 5 children's books. The numbers of pages in these books are , and 76 .
a. List all 10 possible SRSs of size , calculate the median number of pages for each sample, and display the sampling distribution of the sample median on a dotplot.
b. Describe how the variability of the sampling distribution of the sample median would change if the sample size was increased to .
c. Construct the sampling distribution of the sample median for samples of size . . Does this sampling distribution support your answer to part (b)? Explain your reasoning.
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