The manufacturer of bags of cement claims that they fill each bag with at least 50.1 pounds of cement. Assume that the standard deviation for the…

The manufacturer of bags of cement claims that they fill each bag with at least 50.1 pounds of cement. Assume that the standard deviation for the amount in each bag is 1.2 pounds. The decision rule is adopted to shut down the filling machine if the sample mean weight for a sample of 40 bags is below 49.7. What is the probability of a Type I error?

A)0.030

B) 0.036

C ）0.024

D)0.018