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Next 6 questions are based on this information: For two cell-hone providers (Spr

ID: 3074078 • Letter: N

Question

Next 6 questions are based on this information: For two cell-hone providers (Sprint and Verizon) and based on 20 metropolitan areas, box-plots (and numerical summaries) of satisfaction ratings (in a scale from 0 to 100 where 0 indicating completely dissatisfied and 100 indicating completely satisfied) are obtained.

1.The city of New York (which was not among the 20 cities) has a satisfaction rating of 82 for Sprint. In terms of Sprint's satisfaction rating, New York can be considered an outlier because

Select one:

a. Its rating is greater than 70.625

b. Its rating is greater than 61.625

c. Its rating is greater than 67.25

d. Its rating is greater than 66

2,Which statement is not true?

Select one:

a. Satisfaction ratings of Sprint are more spread

b. Satisfaction ratings variability of Sprint and Verizon are very similar

c. There are no outlier ratings for both Sprint and Verizon

d. On average, satisfaction ratings of Verizon are better

3.

The range and inter-quartile range of Sprint's satisfaction rating are ------ and -----, respectively.

Select one:

a. 6 and 3

b. 6 and 1

c. 6 and 1.25

d. 6 and 2.25

4.

How do you characterize the shape of Sprint's satisfaction rating?

Select one:

a. Bimodal

b. Slightly positively skewed

c. Slightly negatively skewed

d. Perfectly symmetric

5.

How do you characterize the shape of Verizon's satisfaction rating?

Select one:

a. Perfectly symmetric

b. Slightly positively skewed

c. Slightly negatively skewed

d. Bimodal

6.

For Verizon's satisfaction rating, what is the value of the lower limit that is used to identify outliers?

Answer:

Summary SPRINT    VERIZON Smallest    63 75 Q1 65 77 Median 66 78.5 Q3 67.25 79.25 Largest 69 81

Explanation / Answer

1. Upper limit for SPRINT = Q3 + 1.5(Q3-Q1)

= 67.25 + 1.5(67.25 - 65) = 70.625

In terms of Sprint's satisfaction rating, New York can be considered an outlier because

Answer A : Its rating is greater than 70.625.

2. Which statement is not true?

Answer A : Satisfaction ratings of Sprint are more spread.

3. For Sprint:

Range = Maximum -minimum = 69-63 =6

Interquartile range = Q3-Q1 = 67.25 - 65 = 2.25

Answer D : 6 and 2.25

4. Shape of Sprint's satisfaction rating:

Answer B : Slightly positively skewed

5. Shape of Verizon's satisfaction rating:

Answer C : Slightly negatively skewed

6. Lower limit for verizon = Q1 - 1.5(Q3-Q1)

= 77 - 1.5(79.25-77) = 73.625

Lower limit that is used to identify outliers = 73.625

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