# Statistics explained in this answer

1. What method of data collection would you use to collect data for a study where a drug was given to 10 patients and a placebo to another group of 10 patients to determine if the drug has an effect on a patient's illness

use sampling

take a census

perform an experiment

use a simulation

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

inferential statistics

descriptive statistics

3. The number of seats in a movie theater are

quantitative

qualitative

4. 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. A recent survey by a national women's association showed that the average salary of 3500 of its 65,000 membership was $73,000. This number is a

parameter

statistic

6. 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. Suppose the variance is 64. Find the standard deviation

4096

46

4069

8

8. 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

y = -0.4668x - 31.737

y = 31.737x - 0.4668

y = 0.4668x - 31.737

y = -31.737x + 0.4668

9. A multiple regression equation is y = -8.5 + 0.964a + 8.104b, where 'a' is a person's age, 'b' is the person's body fat percentage, and 'y' is the person's lean mass percentage. Predict the lean mass for a person who is 27 years old and has a body fat percentage of 4.5%.

34.89

17.16

22.35

17.89

10. Interpret an r value of 0.11.

strong negative correlation

weak positive correlation

strong positive correlation

no correlation

11. Use this table to answer the questions.

Time (in minutes Frequency

20-24 8

25-29 14

30-34 23

35-39 10

40-44 17

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.

12. The heights in inches of 18 randomly selected adult males in LA are listed as: 70, 69, 72, 57, 70, 66, 69, 73, 80, 68, 71, 68, 72, 67, 58, 74, 81, 72.

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.

#### Solution Summary

This solution is comprised of detailed step-by-step calculations and analysis of the given problems related to Statistics and provides students with a clear perspective of the underlying concepts.