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.

The degrees of freedom are given by:

And replaicing we got:

The 95% confidence interval would be between 26.9 and 31.1

Step-by-step explanation:

Information given

represent the sample mean

population mean

s represent the sample standard deviation

represent the margin of error

n represent the sample size  

Solution

The confidence interval for the mean is given by the following formula:

  (1)

And this formula is equivalent to:

And replaicing we got:

The 95% confidence interval would be between 26.9 and 31.1

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step-by-step explanation: