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Supose that the amount of the time teenagers spend weekly working at part-time job is normally...

Supose that the amount of the time teenagers spend weekly working at part-time job is normally distributed with a standard deviation of 40 minutes. A random sample of 15 teenagers was drawn, and each reported the amount of time spent at part-time jobs (in minutes). These are listed here. Determine the 95% confidence interval estimate of the population mean.

180, 130, 150, 165, 90, i130, 120, 60, 200, 180, 80, 240, 210, 150, 125  

Math   Statistics-And-Probability   
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Answer #1

A random sample of 15 teenagers was drawn, and each reported the amount of time spent at part-time jobs (in minutes),

so, n=15, , we need to find the 95% confidence interval estimate of the population mean. note that

Also,

is the % CI for population mean.

Using these we get 95% CI for population mean as [127.0909,167.5758]

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