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Chapter 2: Q 34. (page 108)

When Sam goes to a restaurant, he always tips the server \(2plus10%of the cost of the meal. If Sam鈥檚 distribution of meal costs has a mean of \)9 and a standard deviation of \(3what are the mean and standard deviation of his tip distribution?

a. \)2.90,\(0.30

b. \)2.90,\(2.30

c. \)9.00,\(3.00

d. \)11.00,\(2.00

e. \)2.00,$0.90

Short Answer

Expert verified

The correct option is (a)$2.90,$0.30

Step by step solution

01

Given information

Mean=$9 and a standard deviation= $3

02

Calculation

渭(Histips)=$2+$1.09=$2.90

蟽(Histips)=$3脳$0.1=$0.30

Hence, the correct option is (a).

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Most popular questions from this chapter

The number of absences during the fall semester was recorded for each student in a large elementary school. The distribution of absences is displayed in the following cumulative relative frequency graph.

What is the interquartile range (IQR) for the distribution of absences?

a. 1

b. 2

c. 3

d. 5

e. 14

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nMeanSDMinQ1MedQ3Max
5051742.448210.643664146071500095702071836

a. Find and interpret the z-score for North Carolina, with a median household income of $41,553

b. New Jersey had a standardized score of 1.82Find New Jersey鈥檚 median household income for that year.

Used cars, cheap! Refer to Exercise 24Suppose each car鈥檚 price is reduced by 10% instead of $500What effect will this discount have on each of the following characteristics of the resulting price distribution?

a. Shape

b. Median

c. Interquartile range (IQR)

Comparing bone density Refer to Exercise 17 Judy鈥檚 friend Mary also had the bone density in her hip measured using DEXA. Mary is 35 years old. Her bone density is also reported as 948g/cm2 but her standardized score is z=0.50 The mean bone density in the hip for the reference population of 35-year-old women is 944grams/cm2

a. Whose bones are healthier for her age: Judy鈥檚 or Mary鈥檚? Justify your answer.

b. Calculate the standard deviation of the bone density in Mary鈥檚 reference population. How does this compare with your answer to Exercise 17(b)? Are you surprised?

Foreign-born residents Refer to Exercise 11 Here are summary statistics for

the percent of foreign-born residents in the 50 states:

a. Find and interpret the z-score for Montana, which had 1.9% foreign-born residents.

b. New York had a standardized score of 2.10 Find the percent of foreign-born residents in New York at that time.
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