A market researcher wants to perform a test with the intent of establishing that his company's medium pump bottle of soap has a mean life greater than 40 days. The sample size is 70 and he knows that σ = 5.6.
(a) If you set the rejection region to be R:  > 41.31, what is the level of significance of your test?
(b) Find the numerical value of c so that the test R:  > c has a 5% level of significance.