Question

A national real estate company just acquired a smaller firm with 150 offices and 6000 agents...

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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