An engineer takes a large number of independent measurements

An engineer takes a large number of independent measurements of the length of a component and obtains Xbar = 5.2 in and X = 1 in. Use this information to find the P-value for testing H0 :µ = 5.0 versus H1 :µ = 5.0.

a) Find the p-value of this test.

b) For this test of hypotheses, find when = .05   

c) What value of n is necessary to ensure that = .05 when = .05?   

Solution