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

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 412 gram setting. Based on a 23 bag sample where the mean is 410 grams and the variance is 400, is there sufficient evidence at the 0.1 level that the bags are underfilled or overfilled? Assume the population distribution is approximately normal.

A) State the null and alternative hypotheses.

B) Find the value of the test statistic. Round your answer to three decimal places

C) Determine the decision rule for rejecting the null hypothesis.

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

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