The quality control department of a food processing firm wants to test whether the average weight per  package of a certain food is at least 25 grams. Past experience indicates that the standard deviation of  weight is 0.30 grams. A random sample of 144 packages is obtained.  (a) Design a rule to test ?0:?=25 against ?1: ? ≠25 using a 5% level of significance.  (b) Find the ? – value.  (c) What is your conclusion?  (d) If the true population mean is ?=24.8, find the power of the test.

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