In a recent study of 42 eighth graders, the mean number of hours per week that they watched television was 19.6. Assume the population standard deviation is 5.8 hours. Find the 98% confidence interval for the population mean.

The 98% confidence interval for the population mean is between 17.5 hours and 21.7 hours.

Step-by-step explanation:

We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of .

So it is z with a pvalue of , so

Now, find M as such

In which is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 19.6 - 2.1 = 17.5 hours

The upper end of the interval is the sample mean added to M. So it is 19.6 + 2.1 = 21.7 hours

The 98% confidence interval for the population mean is between 17.5 hours and 21.7 hours.

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step-by-step explanation: