1. Consider the following variables and the two classification tables. Place each variable in the appropriate cell of the tables. For example, tax money is a continuous quantitative variable. Tax money is also a continuous ratio-scaled variable.
1. Tax money
2. Student IQ ratings (Assume that the range is 69-130)
3. The number of magazines sold each Monday during 2014
4. A student's state of birth
5. Temperature
6. SAT scores
7. Student rank in class (rank one, two, ...)
8. Number of home computers
9. Gender
10. Rating of a finance professor (1 is the lowest, 6 is the highest)
2. A survey of 300 customers on the service being provided by a company showed the following results about customers' satisfaction with the service level:
Extremely satisfying 63
Satisfying 135
Not satisfying 78
Extremely dissatisfying 24
a. What is the table called?
b. Draw a bar chart to portray the survey results (by hand).
c. Draw a pie chart for the survey results (by hand).
d. If you are preparing to present to the CEO of the company as part of a report, which graph would you prefer to show? Why?
3. A survey reported the number of hours spent in the gym per week for a sample of 60 adults between ages 20-25.
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9.3
|
5.3
|
6.3
|
8.8
|
6.5
|
0.6
|
5.2
|
6.6
|
9.3
|
4.3
|
|
6.3
|
2.1
|
2.7
|
0.4
|
3.7
|
3.3
|
1.1
|
2.7
|
6.7
|
6.5
|
|
4.3
|
9.7
|
7.7
|
5.2
|
1.7
|
8.5
|
4.2
|
5.5
|
5.1
|
5.6
|
|
5.4
|
4.8
|
2.1
|
10.1
|
1.3
|
5.6
|
2.4
|
2.4
|
4.7
|
1.7
|
|
2.0
|
6.7
|
1.1
|
6.7
|
2.2
|
2.6
|
9.8
|
6.4
|
4.9
|
5.2
|
|
4.5
|
9.3
|
7.9
|
4.6
|
4.3
|
4.5
|
9.2
|
8.5
|
6.0
|
8.1
|
a. Organize the data into a frequency distribution (show the relative frequency distribution and the percent frequency distribution as well). How many classes would you suggest? What value would you suggest for a class interval? (show the step-by-step calculations).
b. Draw a histogram (by hand). Interpret your result.
4. The duration of computer usage (in minutes) for all the 13 computers in a company during the past week is listed below.
9, 195, 241, 301, 216, 260, 7, 244, 192, 147, 10, 295, 142
a. Is this a sample or a population? Why?
b. Find the mean and median of the computer usage (show the step-by-step calculations).
5. A company's human resources department was interested in the average number of years that a person works before retiring. The sample of size 11 follows:
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12
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16
|
18
|
19
|
21
|
21
|
21
|
22
|
24
|
24
|
26
|
a. Compute the mean.
b. Is (a) an estimate or the exact value for the arithmetic mean of what the number of years that all the employees of this company work before retiring? Why?
c. Compute the median.
d. Compute the mode.