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Chapter 6: Q5 (page 281)

Interpreting Normal Quantile Plots. In Exercises 5–8, 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 “Presidents” 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

Finding Bone Density Scores. In Exercises 37–40 assume that a randomly selected subject is given a bone density test. Bone density 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 bone density test score corresponding to the given information. Round results to two decimal places.

Find P10, the 10th percentile. This is the bone density score separating the bottom 10% from the top 90%.

Birth Weights Based on Data Set 4 “Births” in Appendix B, birth weights are normally distributed with a mean of 3152.0 g and a standard deviation of 693.4 g.

a. For the bell-shaped graph, what is the area under the curve?

b. What is the value of the median?

c. What is the value of the mode?

d. What is the value of the variance?

Jet Ejection Seats The U.S. Air Force once used ACES-II ejection seats designed for men weighing between 140 lb and 211 lb. Given that women’s weights are normally distributed with a mean of 171.1 lb and a standard deviation of 46.1 lb (based on data from the National Health Survey), what percentage of women have weights that are within those limits? Were many women excluded with those past specifications?

Durations of PregnanciesThe lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days.

a. In a letter to “Dear Abby,” a wife claimed to have given birth 308 days after a brief visit fromher husband, who was working in another country. Find the probability of a pregnancy lasting308 days or longer. What does the result suggest?

b. If we stipulate that a baby is prematureif the duration of pregnancy is in the lowest 3%,find the duration that separates premature babies from those who are not premature. Premature babies often require special care, and this result could be helpful to hospital administrators in planning for that care.

Using a Formula to Describe a Sampling Distribution Exercise 15 “Births” requires the construction of a table that describes the sampling distribution of the proportions of girls from two births. Consider the formula shown here, and evaluate that formula using sample proportions (represented by x) of 0, 0.5, and 1. Based on the results, does the formula describe the sampling distribution? Why or why not?

Px=122-2x!2x!wherex=0,0.5,1
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