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Probability and Sample Size

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15. Captain D's tuna is sold in cans that have a net weight of 8 ounces. The weights are normally distributed with a mean of 8.025 ounces and a standard deviation of 0.125 ounces. You take a sample of 36 cans. Compute the probability that the sample would have a mean:

a. greater than 8.03 ounces?
b. less than 7.995 ounces?
c. between 7.995 and 8.03 ounces?

16. The mean hourly wage of finish carpenters in Phoenix, AZ is \$16.50 per hour. What is the likelihood that we could select a sample of 40 carpenters with a mean of \$16.75 or more? The standard deviation of the sample is \$1.75.

17. The anticipated mean weight of logging trucks entering the Hafner Saw mill in southern Ohio is 78,000 pounds. A sample of 48 trucks has a mean of 78,700 pounds and a standard deviation of 1,750 pounds. What is the probability that a sample of this size could come from the population with a mean of 78,000 pounds?