# Statistics Solution - 19991

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Statistics Solution

Statistics Help

1. (TCO 1) What method of data collection would you use to collect data for a study where a political pollster wishes to determine if his candidate is leading in the polls?

use a simulation

perform an experiment

take a census

use sampling

2. (TCO 2) The chances of winning the California Lottery are 1 in 22 million. This statement describes

inferential statistics

descriptive statistics

3. (TCO 2) The colors of automobiles on a used car lot are

quantitative

qualitative

4. (TCO 1) After polling every 8th graduate, a major university estimated the annual salary of its alumni to be \$103,000. What sampling technique was used?

random

stratified

convenience

cluster

systematic

5. (TCO 2) A recent survey by the alumni of a major university indicated that the average salary of 8000 of its 250,000 graduates was \$120,000. This number is a

parameter

statistic

6. (TCO 2) Subjects in a sample, when properly selected, should possess

the same or similar characteristics as the population desired.

the same number of discrete variables as the population desired.

the same qualitative characteristics as the population desired.

confounding variables that differ from the population desired.

7. (TCO 2) Suppose the standard deviation is 13.1. What is the variance?

171.62

13.1

15.3

3.62

8. (TCO 10) This data shows the temperatures on randomly chosen days during a summer class and the number of absences on those days. (temperature, number of absences) (72, 3), (85, 7), (91, 10), (90, 10), (88, 8), (98, 15), (75, 4), (100, 16), (80, 5)

Find the equation of the regression line for the given data. (Points : 8)

y = -0.4668x – 31.737

y = 31.737x – 0.4668

y = 0.4668x – 31.737

y = -31.737x + 0.4668

9. (TCO 9) A researcher found a significant relationship between a person’s age, a, the number of hours a person works per week, b, and the number of accidents, y, the person has each year. The relationship can be represented by the multiple regression equation y = -3.2 + 0.012a + 0.23b. Predict the number of accidents per year (to the nearest whole number) for a person whose age is 45 and who works 42 hours per week. (Points : 8)

6

8

7

10

10. (TCO 9) Interpret an r value of -0.82.

strong negative correlation

weak negative correlation

strong positive correlation

no correlation

Page 2

1 .  (TCO 3) Use this table to answer the questions.Height (in inches)Frequency

8-11     18

12-15   23

16-19   38

20-23   47

24-27   32

1. Identify the class width.

2. Identify the midpoint of the first class.

3. Identify the class boundaries of the first class.

4. Give the relative frequency for each class.

(Points : 10)

2.  (TCO 3) The numbers of homeruns that Sammy Sosa hit in the first 13 years of his major league baseball career are listed as: 4, 15, 10, 8, 33, 25, 36, 66, 63, 50, 64, 49, 40.

1. Display the data in a stem-and-leaf plot.

2. Find the mean.

3. Find the median.

4. Find the mode.

5. Find the range.

6. Find the variance.

7. Find the standard deviation.

(Points : 10)

Solution Description
 1. (TCO 1) What method of data collection would you use to collect data for a study where a political pollster wishes to determine if his candidate is leading in the polls?