# mean and standard deviation

Res 341 - Quiz for Week 4

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Find the mean for the given sample data. Unless otherwise specified, round your answer to one more decimal place

than that used for the observations.

1) 13, 20, 16, 13, 14 1)

A) 13 B) 15.2 C) 19 D) 14

Find the median for the given sample data.

2) A new business had the following monthly net gains: 2)

$6956 $3158 $1329 $7616 $7429

$1842 $3728 $8172 $5311 $5900

A) $5144.10 B) $5311.00 C) $5715.67 D) $5605.50

Find the range and standard deviation for each of the two samples, then compare the two sets of results.

3) When investigating times required for drive-through service, the following results (in seconds) 3)

were obtained.

Restaurant A 120 123 153 128 124 118 154 110

Restaurant B 115 126 147 156 118 110 145 137

A) Restaurant A: 46; 16.2

Restaurant B: 44; 16.9

It is inconclusive as to which data set has more variation.

B) Restaurant A: 44; 16.2

Restaurant B: 46; 16.9

Both measures indicate there is more variation in the data for restaurant B than the data for

restaurant A.

C) Restaurant A: 46; 16.9

Restaurant B: 44; 16.2

Both measures indicate there is more variation in the data for restaurant A than the data for

restaurant B.

D) Restaurant A: 44; 16.1

Restaurant B: 46; 16.9

Both measures indicate there is more variation in the data for restaurant B than the data for

restaurant A.

Find the indicated probability.

4) If you flip a coin three times, the possible outcomes are HHH HHT HTH HTT THH THT TTH 4)

TTT. What is the probability of getting at least two tails?

A) 12B) 18

C) 38

D) 58

1

Find the indicated probability by using the special addition rule.

5) A relative frequency distribution is given below for the size of families in one U.S. city. 5)

Size Relative frequency

2 0.457

3 0.204

4 0.192

5 0.099

6 0.030

7+ 0.018

A family is selected at random. Find the probability that the size of the family is between 2 and 5

inclusive. Round approximations to three decimal places.

A) 0.952 B) 0.396 C) 0.853 D) 0.556

Find the indicated probability.

6) The following contingency table provides a joint frequency distribution for the popular votes cast 6)

in the presidential election by region and political party. Data are in thousands, rounded to the

nearest thousand.

A person who voted in the presidential election is selected at random. Compute the probability that

the person selected was in the West and voted Republican.

A) 0.781 B) 0.196 C) 0.588 D) 0.115

Solve the problem.

7) How many ways can an IRS auditor select 6 of 12 tax returns for an audit? 7)

A) 720 B) 665,280 C) 924 D) 2,985,984

2

Find the indicated binomial probability.

8) In a certain college, 20% of the physics majors belong to ethnic minorities. If 10 students are 8)

selected at random from the physics majors, what is the probability that exactly 2 belong to an

ethnic minority?

A) 0.00007 B) 1.8 C) 0.30199 D) 0.00671

Use a table of areas to find the specified area under the standard normal curve.

9) The area that lies to the left of 1.13 9)

A) 0.8485 B) 0.8708 C) 0.8907 D) 0.1292

Use a table of areas for the standard normal curve to find the required z-score.

10) Find the z-score having area 0.09 to its left under the standard normal curve. 10)

A) -1.39 B) -1.26 C) -1.34 D) -1.45

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https://brainmass.com/math/probability/mean-and-standard-deviation-240524

#### Solution Summary

This set of solution provides detailed explainations of a set of statistics questions.