D5.3

1. our H0: mu=1, H1: mu not equal to 1. Let us assume the volume of gas dispensed for one supposed gallon, denoted as X, follows normal distribution with a known sigma=0.02. And you decide to use X_bar out of 30 measures of one supposed gallon as the test statistic, whatare reject region and do not reject regionusing alpha=0.05,respectively?Draw the density function with excel, identify the rejection non rejection region on the graph.

2. If the gas station has secretly adjust the machine to mu=0.99 gallon. The sigma stays the same at 0.02. What is the power, i.e. 1 - beta, of your test in part 1? Draw the density function and use excel for calculation.