A national real estate company just acquired a smaller firm with 150 offices and 6000 agents in Los Angeles and other parts of Southern California. The national firm conducted a sample survey to learn about attitudes and other characteristics of its new employees. In a sample of eight offices, all of the agents completed the questionnaire. Results of the survey for the eight offices follow.
Office | Agents | Average Age | College Grads | Males Agents |
1 | 17 | 37 | 3 | 4 |
2 | 35 | 32 | 14 | 12 |
3 | 26 | 36 | 8 | 7 |
4 | 66 | 30 | 38 | 28 |
5 | 43 | 41 | 18 | 12 |
6 | 12 | 52 | 2 | 6 |
7 | 48 | 35 | 20 | 17 |
8 | 57 | 44 | 25 | 26 |
a. Estimate the mean age of the agents (to 4 decimals).
b. Estimate the proportion of agents who are college graduates and the proportion who are male (to 4 decimals).
College graduates:
Male:
c. Develop an approximate 95% confidence interval for the mean age of the agents (to 4 decimals).
d. Develop an approximate 95%confidence interval for the proportion of agents who are college graduates (to 4 decimals).
e. Develop an approximate 95% confidence interval for the proportion of agents who are male (to 4 decimals).
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