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You want to estimate the mean time college students spend watching online videos each day. The estimate must be within 1 minute of the population

You want to estimate the mean time college students spend watching online videos each day. The estimate must be within 1 minute of the population mean. Determine the minimum sample size required to construct a 99% confidence interval for the population mean. Use the population standard deviation is 2.4 minutes Exercise.

The data set represents the amounts of time (in minutes) spent watching online videos each day for a random sample of 30 college students. Assume the population standard deviation is 2.4 minutes. (Adapted from the Council for Research Excellence)

5.0

6.25
8.0

5.5

4.75

4.5

7.2

6.6

5.8

5.5

4.2

5.4
6.75

9.8

8.2

6.4

7.8

6.5

5.5

6.0

3.8

6.75
9.25

10.0

9.6

7.2

6.4

6.8

9.8

10.2

(a) Find the point estimate of the population mean.

(b) Find the margin of error for a 95% confidence level.

(c) Construct a 95% confidence interval for the population mean. Interpret the results.

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