A manufacturer claims that the mean weight of flour in its 32-ounce bags is 32.1

Question

A manufacturer claims that the mean weight of flour in its 32-ounce bags is 32.1 ounces. A t-test is performed to determine whether the mean weight is actually less than this. The hypotheses are

H0: ? = 32.1 ounces
HA: ? < 32.1 ounces.

The mean weight for a sample of 45 bags of flour was 30.7 ounces. Suppose that the P-value corresponding to this sample data is 0.001. What does the P-value tell you?

Explanation / Answer

If the mean weight of the bags were really 32.1 ounces,the probability of getting a sample mean of 30.7 ounces or below would be 0.001.

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