Assume that the weights of "5-lb" bags of sugar from a production line can be considered to be distributed as X - N(µ,0.01). We want to decide, based on a sample of size 16, if the average weight is...

Assume that the weights of "5-lb" bags of sugar from a production

line can be considered to be distributed as X - N(µ,0.01). We

want to decide, based on a sample of size 16, if the average

weight is acceptable. We test

where H1 can be thought of as indicating acceptable weights.

(a) Find the critical region for this test if a= 0.05.

(b) Find an expression for the power function of this test and

evaluate the expression forµ = 5(0.02)(5.1). The expression

will be a function of µ. Sketch a graph of this power

function.