The manager of a local store believes that the store's average daily sales are more than $8,000. To test her belief, a sample of 64 days of sales was selected; and it was found that the average daily sale was $8,250 with a standard deviation (of the sample) of $1,200.
- Perform a hypothesis test of the manager's belief at the 5% level of significance.
- What is the p-value of this test and state its meaning.