A packaging machine is supposed to fill boxes of breakfast cereal to a weight of

Question

A packaging machine is supposed to fill boxes of breakfast cereal to a weight of 16 ounces. Eight filled boxes are selected at random and the weight of cereal is determined. The results (in ounces) are summarized in the following table.

A technician wishes to test the claim that the machine is overfilling the boxes. Assume the population standard deviation is 0.45 and a 5% level of significance. What is the hypothesized value for the test? (Assume the filling weights are normally distributed.)

0.95

0.05

16.225

16

0.45

16.7 16.0 16.4 15.9 16.5 16.2 15.9 16.2

Explanation / Answer

A packaging machine is supposed to fill boxes of breakfast cereal to a weight of 16 ounces. Eight filled boxes are selected at random and the weight of cereal is determined. The results (in ounces) are summarized in the following table.

A technician wishes to test the claim that the machine is overfilling the boxes. Assume the population standard deviation is 0.45 and a 5% level of significance. What is the hypothesized value for the test? (Assume the filling weights are normally distributed.)

0.95

0.05

16.225

16

0.45

16.7 16.0 16.4 15.9 16.5 16.2 15.9 16.2

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