Shipments of coffee beans are checked for moisture content. A high moisture content indicates water contamination and will result in the shipment being rejected.

Let μ represent the mean water content (in percent by weight)

in a shipment. Fifty moisture measurements will be made on beans chosen at random from the shipment. A test of the hypotheses H0: μ = 10 versus H1: μ > 10 will be made at the

???? = 0.05 level of significance. Assume the standard deviation of moisture content is σ = 5.0.

a. Find the power of the test against the alternative

μ1 = 11.

b. Find the power of the test against the alternative

μ1 = 12.

c. Find the power of the test against the alternative μ1 = 11 if the test is made at level α = 0.01.

d. Find the power of the test against the alternative μ1 = 12 if the test is made at level α = 0.01.