6. The Statistics Department of MYK University is conducting a study to determine how long it takes its graduates to find a job. A sample of 36 graduates was surveyed and it was found that the average time it took a graduate to find a new job was 3.5 months with a standard deviation of 1.5 months. a. Construct a 99% confidence interval for the true mean time for the graduates of this department to find a job. b. If you will be conducting a similar study using the 95% confidence level and a margin of error equal to 0.5 months, how many graduates should you interview?

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6. The Statistics Department of MYK University is conducting a study to determine how long it takes
its graduates to find a job. A sample of 36 graduates was surveyed and it was found that the
average time it took a graduate to find a new job was 3.5 months with a standard deviation of 1.5
months.
a. Construct a 99% confidence interval for the true mean time for the graduates of this
department to find a job.
b. If you will be conducting a similar study using the 95% confidence level and a margin of
error equal to 0.5 months, how many graduates should you interview?
Transcribed Image Text:6. The Statistics Department of MYK University is conducting a study to determine how long it takes its graduates to find a job. A sample of 36 graduates was surveyed and it was found that the average time it took a graduate to find a new job was 3.5 months with a standard deviation of 1.5 months. a. Construct a 99% confidence interval for the true mean time for the graduates of this department to find a job. b. If you will be conducting a similar study using the 95% confidence level and a margin of error equal to 0.5 months, how many graduates should you interview?
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