# A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 404 gram setting. It is believed that the machine is underfilling the bags. A 40 bag sample had a mean of 402 grams. Assume the population standard deviation is known to be 28. A level of significance of 0.02 will be used. Find the P-value of the test statistic. You may write the P-value as a range using interval notation, or as a decimal value rounded to four decimal places.

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A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 404 gram setting. It is believed that the machine is underfilling the bags. A 40 bag sample had a mean of 402 grams. Assume the population standard deviation is known to be 28. A level of significance of 0.02 will be used. Find the P-value of the test statistic. You may write the P-value as a range using interval notation, or as a decimal value rounded to four decimal places.

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Step 1

The test hypotheses are given below:

Step 2

The test statistic is obtained as follows:

Step 3

Thus, the test statistic is –0.45.

The p-value from the S...

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