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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 418 gram setting. It is believed that the machine is overfilling the bags. A 37 bag sample had a mean of 424 grams. Assume the population variance is known to be 361. Is there sufficient evidence at the 0.01 level that the bags are overfilled?

Step 1 of 6: State the null and alternative hypotheses

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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