A production line operates with a mean filling weight of 16 ounces per container. Overfilling or underfilling presents a serious problem and when detected requires the operator to shut down the production line to readjust the filling mechanism. From past data, a population standard deviation = 0.8 ounces is assumed. A quality control inspector selects a sample of 30 items every hour and at that time makes the decision of whether to shut down the line for readjustment.

a. State the null and alternative hypotheses for this quality control application.

b.If a sample mean of x= 16.32 ounces were found, what is the p-value?

c.Using a 0.05 level of significance, what is your conclusion?