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In a sample of 100 households, the mean number of hours spent on social networking sites...

In a sample of 100 households, the mean number of hours spent on social networking sites during the month of January was 50 hours. In a much larger study, the standard deviation was determined to be 6 hours. Assume the population standard deviation is the same. What is the 98% confidence interval for the mean hours devoted to social networking in January?

A

The 98% confidence interval ranges from 6 to 50 hours.

B

The 98% confidence interval ranges from 48.60 to 51.40 hours.

C

The 98% confidence interval ranges from 49.40 to 50.60 hours.

D

The 98% confidence interval ranges from 50 to 52 hours.
Math   Statistics-And-Probability   
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Answer #1

98% confidence interval for is

- Z/2 * / Sqrt(n) < < + Z/2 * / Sqrt(n)

50 - 2.3263 * 6 / sqrt(100) < < 50 + 2.3263 * 6 / sqrt(100)

48.60 < < 51.40

The 98% confidence interval ranges from 48.60 to 51.40 hours

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