Determine the minimum sample size required to be 95% confident that the sample mean waking time is within 10 minutes of the population mean waking time. Use the population standard deviation from Exercise 1.

Data from Exercise 1:

The waking times (in minutes past 5:00 a.m.) of 40 people who start work at 8:00 a.m. are shown in the table at the left. Assume the population standard deviation is 45 minutes. Find 

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Waking times (in minutes past 5:00 A.M.) 95 110 135 145 95 140 135 50 90 165 110 125 80 125 130 110 25 75 65 100 60 125 115 135 95 90 140 40 75 50 130 85 100 160 135 45 135 115 75 130