California State University, Hayward

CALIFORNIA STATE UNIVERSITY, HAYWARD

DEPARTMENT OF STATISTICS

STATISTICS 6011

Statistical Modeling for Management and Economics

WINTER 2005

Midterm I Computer

Directions: Answer each of the questions in order in a MS Word .doc file using Minitab or other statistical software. This is an open book and open notes test. When you have completed the test email me you results at

Health care issues are receiving much attention in both academic and political arenas. A sociologist recently conducted a survey of citizens over 60 years of age whose net worth is too high to qualify for Medicaid and have no private health insurance. The ages of 25 uninsured senior citizens were as follows:

TABLE 3-1

60 61 62 63 64 65 66 68 68 69 70 73 73

74 75 76 76 81 81 82 86 87 89 90 92

1. Referring to Table 3-1, calculate the mean age of the uninsured senior citizens to the nearest hundredth of a year.

2. Referring to Table 3-1, identify the median age of the uninsured senior citizens.

3. Referring to Table 3-1, identify the first quartile of the ages of the uninsured senior citizens.

4. Referring to Table 3-1, identify the third quartile of the ages of the uninsured senior citizens.

5. Referring to Table 3-1, identify the interquartile range of the ages of the uninsured senior citizens.

6. Referring to Table 3-1, identify which of the following is the correct statement.

a) One fourth of the senior citizens sampled are below 64 years of age.

b) The middle 50% of the senior citizens sampled are between 65.5 and 73.0 years of age.

c) 25% of the senior citizens sampled are older than 81 years of age.

d) All of the above are correct.

7. Referring to Table 3-1, what type of shape does the distribution of the sample appear to have?

8. Referring to Table 3-1, calculate the standard deviation of the ages of the uninsured senior citizens correct to the nearest hundredth of a year.

9. Referring to Table 3-1, calculate the coefficient of variation of the ages of the uninsured senior citizens.

10. What conclusions can you draw about the age of uninsured senior citizens from your data analysis?

Analyzing the Databases: Complete Problem 3 on page 217 related to the manufacturing database.