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The mean number of hours of part-time work per week for a sample of 317 teenagers...

The mean number of hours of part-time work per week for a sample of 317 teenagers is 29. If the margin of error for the population mean with a 95% confidence interval is 2.1, construct a 95% confidence interval for the mean number of hours of part-time work per week for all teenagers.

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Answer #1

Solution :

Given that,

Point estimate = sample mean = = 29

Sample size = n = 317


Margin of error = E = 2.1


At 95 % confidence interval estimate of the population mean is,

- E < < + E

29 -2.1 <   < 29+ 2.1

26.9 < < 31.1

(26.9 ,31.1 )

A 95% confidence interval for the mean number of hours is 26.9 and 31.1 .

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