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Chapter 7: Q. 40 (page 441)
Harley-Davidson motorcycles make up of all the motorcycles registered in the United States. You plan to interview an SRS of motorcycle owners. How likely is your sample to contain or more who own Harleys? Follow the four-step process.
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Do you drink cereal milk? What sample size would be required to reduce the standard deviation of the sampling distribution to one-half the value you found in Exercise 35(b)? Justify your answer.
Scrabble In the game of Scrabble, each player begins by drawing 7 tiles from a bag containing 100 tiles. There are 42 vowels, 56 consonants, and 2 blank tiles in the bag. Cait chooses an SRS of 7 tiles. Let be the proportion of vowels in her sample.
(a) Is the condition met in this case? Justify your answer.
(b) Is the Normal condition met in this case? Justify your answer.
When people order books from a popular online source, they are shipped in standard-sized boxes. Suppose that the mean weight of the boxes ispounds with a standard deviation of pounds, the mean weight of the packing material is pounds with a standard deviation of 0.1 pounds, and the mean weight of the books shipped is pounds with a
standard deviation of pounds. Assuming that the weights are independent, what is the standard deviation of the total weight of the boxes that are shipped from this source?
(a)
(b)
(c)
(d)
(e)
Squirrels and their food supply (3.2) Animal species produce more offspring when their supply of food goes up. Some animals appear able to anticipate unusual food abundance. Red squirrels eat seeds from pinecones, a food source that sometimes has very large crops. Researchers collected data on an index of the abundance of pinecones and the average number of offspring per female over years. Computer output from a least-squares regression on these data and a residual plot.
(a) Give the equation for the least-squares regression line. Define any variables you use.
(b) Explain what the residual plot tells you about how well the linear model fits the data.
(c) Interpret the values of and s in context.
The magazine Sports Illustrated asked a random sample of Division I college athletes, 鈥淒o you believe performance-enhancing drugs are a problem in college sports?鈥� Suppose that of all Division I athletes think that these drugs are a problem. Let be the sample proportion who say that these drugs are a problem.
The sampling distribution of has mean
(a) .
(b) .
(c) .
(d) .
(e) none of these.
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