Name:    Chapter 13 Post Test

Multiple Choice
Identify the choice that best completes the statement or answers the question.

1.

Organize the following data using a stem-and-leaf plot.

13, 2, 35, 5, 16, 39, 42, 7, 33, 25, 3, 14, 47

 a. d. b. e. c.

2.

If the following set of weights for members of a wrestling team is organized using a stem-and-leaf plot, how many leaves accompany the stem “15”?

165, 113, 91, 134, 145, 105, 119, 137, 138, 108, 129, 122, 98, 117, 141

 a. 3 d. 0 b. 2 e. 4 c. 1

3.

If the following numbers are organized using a stem-and-leaf plot, how many stems contain 2 leaves?

13, 2, 35, 6, 17, 39, 41, 8, 31, 23, 4, 14, 48

 a. 4 d. 0 b. 2 e. 3 c. 1

4.

The following stem-and-leaf plot was used to organize a group of test scores.  How many students had a test score less than 60 or greater than 80?

 a. 12 d. 11 b. 10 e. 14 c. 9

5.

Sixteen distinguished university professors were recently asked how many papers they had written which were later published in scholarly journals.  The results are organized below in a histogram.  How many of the professors have published less than 80 papers throughout their career?

 a. 11 d. 13 b. 10 e. 9 c. 12

6.

The ages of the employees at a certain company are organized below in a histogram.  How many of the employees were under the age of 30 fifteen years ago?

 a. 27 d. 38 b. 39 e. 29 c. 21

7.

Find the mean of the following set of measurements.

5, 1, 10, 14, 9, 21, 17, 10

 a. 10 d. 8.465 b. 11.705 e. 10.875 c. 87

8.

Find the mode of the following set of measurements.

5, 2, 11, 11, 2, 5, 2, 5

 a. 3.5 d. 5 b. 5, 2 e. 11 c. 2

9.

A certain restaurant hosted a series of birthday parties throughout the month.  If the number of attendees at each party is listed below, find the variance of the data set.

128                          78
86                            52
102                          119
53                            125

 a. 820.109 d. 28.638 b. 849.949 e. 767.926 c. 92.875

10.

Eight students had the following test scores on a math test.

73, 65, 90, 85, 95, 82, 79, 66

Find the variance of the set of scores.

 a. 102.734 d. 79.375 b. 104.323 e. 10.136 c. 80.5

11.

The test scores for a certain biology class are normally distributed with a mean score of 81 and a standard deviation of 8.  Find the z-score for a test score of 94, and round your answer to two decimal places.

 a. 1.5 d. 1.75 b. 1.06 e. 1.88 c. 1.63

12.

Employee salaries at a certain company are normally distributed with a mean salary of \$59,000 and a standard deviation of \$7100.  Find the z-score for a salary of \$70,400. Round your answer to two decimal places.

 a. 1.46 d. 1.61 b. 1.32 e. 1.07 c. 1.75

13.

Employee salaries at a certain company are normally distributed with a mean salary of \$59,000 and a standard deviation of \$7700.  Find the probability that an employee chosen at random from the company has a salary less than \$49,760.00..

 a. 0.1587 d. 0.0808 b. 0.1357 e. 0.1151 c. 0.0968

14.

Find the correlation coefficient r for the data given below.

(2, 7), (6, 3), (10, 4), (11, –1)

 a. –0.9078 d. –0.4078 b. –0.6117 e. –0.9539 c. –0.8156

15.

Find the sum of square differences between the data below and the least squares regression parabola..

(, 2), (, 5), (0, 3), (1, 0)

 a. 0.8 d. 2.76 b. 2.23 e. 1.6 c. 1.54

16.

Find the sum of square differences between the data below and the least squares regression parabola..

(, –1), (, –3), (0, –3), (1, 0)

 a. –0.53 d. 1.74 b. 0.4 e. 0.05 c. 0.78

17.

Find the least squares regression parabola for the points.

(, 3), (, 0), (0, 4), (1, 0), (2, 1)

 a. d. b. e. c.

18.

Find the sum of square differences between the data below and the least squares regression parabola..

(, –2), (, –5), (0, –6), (1, 0), (2, 4)

 a. 45.247 d. 48.83 b. 13.333 e. 44.038 c. 46.711

19.

A survey of newlyweds was recently conducted by a magazine.  The participants were asked to give the age of the bride and the number of guests at their wedding.  Some of the resulting data is shown below.

 Age of Bride, x 18 20 23 27 Average Number of Wedding Guests, y 99 146 184 130

Use the least squares regression line to estimate the average number of wedding guests for a bride of age 33.

 a. 173 guests d. 180 guests b. 178 guests e. 177 guests c. 175 guests

20.

A company compiles data relating to the production costs of a certain product.  Assume the cost of manufacturing the product depends entirely upon the number of items produced.  Some of the data compiled by the company is shown below.

 Number of Items Produced, x 108 122 131 142 Production Cost (in Thousands of \$’s), y 92 105 117 129

Find the least squares regression line for the data.

 a. y = 1.039- 25.58 d. y = 1.101- 27.762 b. y = 1.101- 25.58 e. y = 1.039- 27.762 c. y = 1.101- 26.426