preferences and recreational event usage of city residents

1) A city government has collected data on the music preferences and recreational event usage of city residents. They would like to know if individuals that go to the park often differ in their musical tastes than those that attend the park less often; they have measured park attendance as 0 ‘ never visits’ 1 ‘ visits once a year’ 2 ‘visits once a month’ 3 ‘visits twice per month’ 5 ‘visits more than twice per month’. Musical taste is measured as preferring either jazz, soul, classical, or rock music.

a. What is the unit of analysis? (2pts)

b. What are the variables and what is their level of measurement? (2pts)

c. Supply one hypothesis that could be used for this research. (2pts)

2) General Motors is interested in the demand fluctuations for their brands across five different sales regions (Southeast, Northwest, Southwest, Northeast, Midwest) in the United States. They survey their dealers from these regions to find if the best-selling brand at each dealership is Chevrolet, Buick, GMC or Cadillac.

a. What is the unit of analysis? (2pts)

b. What are the variables and what is their level of measurement? (2pts)

c. Supply one hypothesis that could be used for this research. (2pts)

3) In 2010, Florida had 876,975 gun owners for a population of 10,000,000. What is the gun ownership rate per 1,000 residents? (3pts)

4) If 62% of the 43,000 students at U of M major in Natural Science, how many students are Natural Science majors? What is the Natural Science major rate per 1,000 students? (3pts)

5) In 2013, the US murder rate was 6.2 per 100,000 individuals. Given the population of the US is 330,000,000; how many murders were committed? (3pts)

6) A researcher develops a theory indicating that individuals who drink large amounts of cream soda are more likely to fail statistics. In this theory, what are the independent and dependent variables? (3pts)

7) Use the following frequency distribution to answer the questions?

BELIEVE IN SUPERNATURAL POWER OF DECEASED ANCESTORS

Frequency % Cumulative %

Valid Yes, definitely 115 8.9 8.9

Yes, probably 206 16.0 24.9

No, probably not 403 31.2 56.1

No, definitely not 567 43.9 100.0

Total 1291 100.0

a) How many individuals responded that their ancestors definitely have supernatural powers? (5pts)

b) What percentage of individuals responded that their ancestors either definitely or probably have supernatural powers? (5pts)

c) What percentage of individuals responded that their ancestors either definitely have super powers or probably do not have supernatural powers? (5pts)

8) The following table gives a partial list of employee data at Widget Co.

Employee ID Department Job Title Years at Widget Co Age

314 Sales Manager 12 40

432 Manufacturing Operator 19 40

123 Administration Sales Rep 7 64

996 Manufacturing Operator 3 55

123 Sales Sales Rep 25 49

124 Manufacturing Operator 28 44

142 Sales Manager 24 59

542 Sales Sales Rep 11 32

125 Administration Assistant 27 58

154 Sales Sales Rep 4 29

a. Construct a frequency distribution for DEPARTMENT; include a column for relative percentage and cumulative percentage. (5pts)

b. Construct a frequency distribution for TITLE; include a column for relative percentage and cumulative percentage. (5pts)

c. What is the mode for the variable JOB TITLE?(3pts)

d. Find the mean, variance and standard deviation for AGE. Interpret each statistic. (5pts)

e. Find the median and range for YEARS AT WIDGET CO. Interpret each statistic. (5pts)

9) Use the Table below to answer the following questions.

Descriptive Statistics for Monthly Sales in 1000s

by Month For 3 Dealerships (2007-20011)

Mean Std Range

Westland 223 21 78

Eastville 289 11 54

Southlawn 378 49 129

*Std=standard deviation

a) Which dealership had the highest sales? (5pts)

b) Which dealership has the most consistent sales? (5pts)

c) Your boss believes that this information proves that the Soutlawn dealership is the best dealership in the area and is thinking of making all other dealerships adopt their management style. She asks you whether the information in Table 2 would support her decision, how would you respond? (5pts)

10) What is the difference between mean, median, and mode? (2pts)

11) What is a normal distribution? What does it mean for a distribution to be skewed? (4pts)

12. The SAT exam has a mean of 500 and a standard deviation of 100. What would be the score one standard deviation below the mean? (5pts)

13. The following Table shows a frequency distribution for the highest year of education for women aged 45-70.

Highest Year of Education

Frequency Percent Cumulative Percent

Less than High School 5903 28.8 28.8

High School Grad 5785 28.2 57.0

Some College 5451 26.6 83.6

College Grad 1779 8.7 92.3

Graduate Degree 1574 7.7 100.0

Total 20492 100.0

a) What is the median level of education in this sample?)(5pts)

b) Most respondents in this sample have what level of education? (5pts)

c) Can you compute the mean level of education in this sample? If you can what is it? If you cannot, why? (2pts)