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Chapter 7: Q. 2.1 (page 488)

The five-number summary for a data set is given by min = 5, Q1=18, median = 20, Q3=40, max = 75. If you wanted to construct a boxplot for the data set that would show outliers, if any existed, what would be the maximum possible length of the right-side 鈥渨hisker鈥�?

a. 33

b. 35

c. 45

d. 53

e. 55

Short Answer

Expert verified

(a) The maximum possible length of the right-side whisker is 33

Step by step solution

01

Given Information

Consider that min.=5,Q1=18,median=20,Q3=40,max.=75

The following concept was used:

IQR=Q3鈭�Q1

For the scribes.

Q1鈭�1.5IQR,Q3+1.5IQR

02

Explanation for correct option

Consider that,

IQR=Q3鈭�Q1=40鈭�18=22Q1鈭�1.5IQR,Q3+1.5IQR=18鈭�1.522,40+1.522=鈭�15,73

The whisker lengths on a box plot can only be a maximum of 33

An outlier is anything that falls outside of the range.

03

Explanation for incorrect option

Option B the maximum possible length of the right-side 鈥渨hisker鈥� will not be 35

Option C the maximum possible length of the right-side 鈥渨hisker鈥� will not be 45

Option D the maximum possible length of the right-side 鈥渨hisker鈥� will not be 53

Option E the maximum possible length of the right-side 鈥渨hisker鈥� will not be 55

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Most popular questions from this chapter

The distribution of grade point average for students at a large high school is skewed to the left with a mean of 3.53 and a standard deviation of 1.02.

a. Describe the shape of the sampling distribution of x炉 for SRSs of size n = 4 from the population of students at this high school. Justify your answer.

b. Describe the shape of the sampling distribution of x炉 for SRSs of size n = 50 from the Page Number: 480 population of students at this high school. Justify your answer.

When people order books from a popular online source, they are shipped in boxes.

Suppose that the mean weight of the boxes is 1.5 pounds with a standard deviation of 0.3 pound, the mean weight of the packing material is 0.5 pound with a standard deviation of 0.1 pound, and the mean weight of the books shipped is 12 pounds with a standard deviation of 3 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. 1.84

b. 2.60

c. 3.02

d. 3.40

e. 9.10

You work for an advertising agency that is preparing a new television commercial to appeal to women. You have been asked to design an experiment to compare the effectiveness of three versions of the commercial. Each subject will be shown one of the three versions and then asked to reveal her attitude toward the product. You think there may be large differences in the responses of women who are employed and those who are not. Because of these differences, you should use

a. a block design, but not a matched pairs design.

b. a completely randomized design.

c. a matched pairs design.

d. a simple random sample.

e. a stratified random sample.

More homework Some skeptical Ap庐 Statistics students want to investigate the newspaper's claim in Exercise 11, so they choose an SRS of 100students from the school to interview. In their sample, 45students completed their homework last week. Does this provide convincing evidence that less than 60%of all students at the school completed their assigned homework last week?

a. What is the evidence that less than 60%of all students completed their assigned homework last week?

b. Provide two explanations for the evidence described in part (a).

We used technology to simulate choosing 250SRSs of size n=100n=100from a population of 2000students where 60%completed their assigned homework last week. The dotplot shows pp^the sample proportion of students who completed their assigned homework last week for each of the 250simulated samples.

c. There is one dot on the graph at 0.73. Explain what this value represents.

d. Would it be surprising to get a sample proportion of p=0.45p^=0.45or smaller in an SRS of size 100when p=0.60p=0.60? Justify your answer.

e. Based on your previous answers, is there convincing evidence that less than 60%of all students at the school completed their assigned homework last week? Explain your reasoning.

Making auto parts Refer to Exercise 54 . How many axles would you need to sample if you wanted the standard deviation of the sampling distribution of x-x炉to be 0.0005mm ? Justify your answer.
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