Posted by **Rebecca** on Tuesday, October 30, 2007 at 4:04pm.

The mean television viewing time for Americans is 15 hours per week. Suppose a sample of 60 Americans is taken to further investigate viewing habits. Assume the population standard deviation for weekly viewing ime is o = 4 hours.

A What is the probability the sample mean will be within 1 hour of the population mean?

B. What is the probability the sample mean will be within 45 minutes of the population mean?

- Statistics -
**PsyDAG**, Wednesday, October 31, 2007 at 1:57pm
You need to convert the hours to a Z score and then look up the probabilities in the back of your statistics textbook in an appendix labeled something like "areas under the normal distribution."

Z = (X - ƒÊ)/SD, where X = raw score, ƒÊ = mean and SD = standard deviation.

A involves X of 14 to 16, while B involves X of 14.25 to 15.75, converting minutes to portions of an hour.

You should be able to solve it with this information. I hope it helps. Thanks for asking.

- Statistics -
**Anonymous**, Wednesday, March 26, 2014 at 9:15pm
kjjn

- Statistics -
**Anonymous**, Thursday, May 21, 2015 at 4:26pm
0.38680

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