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Chapter 6: Q5 (page 281)

Interpreting Normal Quantile Plots. In Exercises 5鈥�8, examine the normal quantile plot and determine whether the sample data appear to be from a population with a normal distribution.Ages of Presidents The normal quantile plot represents the ages of presidents of the United States at the times of their inaugurations. The data are from Data Set 15 鈥淧residents鈥� in Appendix B.

Short Answer

Expert verified

Since the points on the plot lie lose to the straight line, the sample of the ages of US presidents at the time of their inaugurations appears to be from a normally distributed population.

Step by step solution

01

Given information

A normal quantile plot is given for the sample of the ages of US presidents at the time of their inaugurations.

02

Interpretation of normal quantile plot

The normal quantile plot is used to assess whether the sample comes from a normally distributed population or not.

  • If the data points on the plot lie very close to a straight-line pattern, the sample can be assumed to be from a normally distributed population.
  • But if the points follow any other specific pattern, the sample is not from a normally distributed population.

The plot shows that almost all the points lie along a straight line.

Therefore, the sample of the ages ofpresidents of the US at the time of their inaugurations is from a normally distributed population.

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Most popular questions from this chapter

Standard normal distribution, assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1.In each case, Draw a graph, then find the probability of the given bone density test score. If using technology instead of Table A-2, round answers to four decimal places.

Between -4.27 and 2.34

Standard normal distribution. In Exercise 17-36, assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. In each case, Draw a graph, then find the probability of the given bone density test score. If using technology instead of Table A-2, round answers to four decimal places.

Less than 2.56

Random Digits Computers are commonly used to randomly generate digits of telephone numbers to be called when conducting a survey. Can the methods of this section be used to find the probability that when one digit is randomly generated, it is less than 3? Why or why not? What is the probability of getting a digit less than 3?

Critical Values. In Exercises 41鈥�44, find the indicated critical value. Round results to two decimal places.

z0.02

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?
See all solutions

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