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A manufacturer of banana chips would like to know whether its bag filling machine works correctly...

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 444 gram setting. It is believed that the machine is underfilling or overfilling the bags. A 48 bag sample had a mean of 451 grams. Assume the population variance is known to be 324. Is there sufficient evidence at the 0.01 level that the bags are underfilled or overfilled?

Step 2 of 6:

Find the value of the test statistic. Round your answer to two decimal places.

Step 3 of 6:

Specify if the test is one-tailed or two-tailed.

Step 4 of 6:

Find the P-value of the test statistic. Round your answer to four decimal places.

Step 5 of 6:

Identify the level of significance for the hypothesis test.

Step 6 of 6:

Make the decision to reject or fail to reject the null hypothesis.

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