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A mail-order business prides itself in its ability to fill customers' orders in less than six calendar days, on average. Periodically, the operations manager selects a random sample of customer orders and determines the number of days required to fill the orders. On one occasion when a sample of 30 orders was selected, the average number of days was 6.65 with a sample standard deviation of 1.5 days. Assume the time in which an order is filled is normally distributed.
-Calculate the appropriate test statistic to test the hypotheses.
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