Question

# 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 415415 gram setting. Based on a 2424 bag sample where the mean is 409409 grams and the variance is 784784, is there sufficient evidence at the 0.10.1 level that the bags are underfilled? Assume the population distribution is approximately normal.

Step 1 of 5:

State the null and alternative hypotheses.

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 415415 gram setting. Based on a 2424 bag sample where the mean is 409409 grams and the variance is 784784, is there sufficient evidence at the 0.10.1 level that the bags are underfilled? Assume the population distribution is approximately normal.

Step 2 of 5:

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

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 415415 gram setting. Based on a 2424 bag sample where the mean is 409409 grams and the variance is 784784, is there sufficient evidence at the 0.10.1 level that the bags are underfilled? Assume the population distribution is approximately normal.

Step 3 of 5:

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

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 415415 gram setting. Based on a 2424 bag sample where the mean is 409409 grams and the variance is 784784, is there sufficient evidence at the 0.10.1 level that the bags are underfilled? Assume the population distribution is approximately normal.

Step 4 of 5:

Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 415415 gram setting. Based on a 2424 bag sample where the mean is 409409 grams and the variance is 784784, is there sufficient evidence at the 0.10.1 level that the bags are underfilled? Assume the population distribution is approximately normal.

Step 5 of 5:

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

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