The expense of moving the storage yard for the Consolidated Package Delivery Service (CPDS) is justified only

Question:

The expense of moving the storage yard for the Consolidated Package Delivery Service (CPDS) is justified only if it can be shown that the daily mean travel distance will be less than 342 km. In trial runs of 12 delivery trucks, the mean and standard deviation are found to be 318 km and 67 km, respectively. At the 0.01 level of significance, test the claim that the mean is less than 342 km. Should the storage yard be moved?
Use the traditional approach summarized. Draw a graph showing the test statistic and critical values. In each case, assume that the population has a that is approximately normal and that the sample is randomly selected. Distribution
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