Homework8: Problem 6 Previous Problem ListNext (1 point) A study of the career p

Question

Homework8: Problem 6 Previous Problem ListNext (1 point) A study of the career paths of hotel general managers sent questionnaires to an SRS of 220 hotels belonging to major U.S. hotel chains. There were 106 responses. The average time these 106 general managers had spent with their current company was 12.06 years. (Take it as known that the standard deviation of time with the company for all general managers is 2.1 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 time a general manager had spent with their current company: years (c) In general, increasing the confidence level (Enter: "DECREASES","DOES NOT CHANGE" or "INCREASES", without the quotes.) the margin of error (width) of the confidence interval.

Explanation / Answer

Mean = 12.06

SD = 2.1

a) z at 90% = 1.645

MOE = 1.645 * 2.1106

MOE = 0.336 years

b) z at 99% = 2.58

MOE = 2.58 * 2.1/106

MOE = 0.53 years

c) Increases

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