Question

Researchers studied the role that the age of workers has in determining the hours per month spent on personal tasks. A sample of 1,686 adults were observed for one month. The data are:

Answer 1

The 98 percent confidence interval for the mean hours spent on personal tasks for 25-44 years olds will be (3.97, 4.11).

How to calculate the confidence interval?

From the complete information, it should be noted that the mean is 4.04, the standard deviation is 0.81 and the number is 708.

Since the sample size is large, so the z-critical will be used. In this case, the critical value is 2.33.

The 98% confidence interval will be:

= 4.04 + 2.33(0.81/✓768)

= 4.11

Also, 4.04 - 2.33(0.81/✓768)

= 3.97

Therefore, the 98% confidence interval is (3.97, 4.11).

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