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Chapter 6: Normal Probability Distributions

Q9

Page 292

In Exercises 6鈥10, assume that women have diastolic blood pressure measures that are normally distributed with a mean of 70.2 mm Hg and a standard deviation of 11.2 mm Hg (based on Data Set 1 鈥淏ody Data鈥 in Appendix B).

Diastolic Blood Pressure If 16 women are randomly selected, find the probability that the mean of their diastolic blood pressure levels is less than75mmHg.

Q9

Page 264

In Exercises 7鈥10, use the same population of {4, 5, 9} that was used in Examples 2 and 5. As in Examples 2 and 5, assume that samples of size n = 2 are randomly selected with replacement.

Sampling Distribution of the Sample Median

a. Find the value of the population median.

b. Table 6-2 describes the sampling distribution of the sample mean. Construct a similar table representing the sampling distribution of the sample median. Then combine values of the median that are the same, as in Table 6-3. (Hint: See Example 2 on page 258 for Tables 6-2 and 6-3, which describe the sampling distribution of the sample mean.)

c. Find the mean of the sampling distribution of the sample median. d. Based on the preceding results, is the sample median an unbiased estimator of the population median? Why or why not?

Q9

Page 289

Car Colors. In Exercises 9鈥12, assume that 100 cars are randomly selected. Refer to the accompanying graph, which shows the top car colors and the percentages of cars with those colors (based on PPG Industries).

White CarsFind the probability that fewer than 20 cars are white. Is 20 a significantly low number of white cars?

Q9CQQ

Page 226

In Exercises 6鈥10, assume that women have diastolic blood pressure measures that are normally distributed with a mean of 70.2 mm Hg and a standard deviation of 11.2 mm Hg (based on Data Set 1 鈥淏ody Data鈥 in Appendix B).

Diastolic Blood Pressure If 16 women are randomly selected, find the probability that the mean of their diastolic blood pressure levels is less than \({\bf{75\;mmHg}}\).

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