(1 point) A study of the career paths of hotel general managers sent questionnai

Question

(1 point) A study of the career paths of hotel general managers sent questionnaires to an SRS of 300 hotels belonging to major U.S. hotel chains. There were 189 responses. The average time these 189 general managers had spent with their current company was 10.32 years. (Take it as known that the standard deviation of time with the company for all general managers is 1.3 years.) (a) Find the margin of error for a 90% confidence interval to estimate the mean time a general manager had spent with their current company: years (b) Find the margin of error for a 99% confidence interval to estimate the mean tine a general manager had spent with their current company: years the margin of error (width) of the confidence interval. (Enter (c) In general, increasing the confidence level "DECREASES", "DOES NOT CHANGE" or "INCREASES", without the quotes.)

Explanation / Answer

Solution

a. 90% margin of error = +-z0.05(s/n0.5)

Margin of error = +-1.645(1.3/1890.5) = 0.16

b. 99% margin of error = 2.576(1.3/1890.5) = 0.24

c, increases

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