Parkrose Bakery bakes large batches of rolls in huge ovens. The bakers require that halfway through each baking cycle, the average temperature for the rolls in the batch be 325oF. A higher or lower average batch temperature will require an adjustment in the oven setting. To check this condition, a random sample of 36 rolls is selected halfway through each cycle and the sample average temperature is calculated.
a. If a sample has a mean temperature of 323.4o, compute the p-value for the sample result. Assume a population standard deviation of 4.5o.
b. If the significance level is 1%, can the null hypothesis be rejected? Explain.