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# A manufacturer is interested in determining whether it can claim that the boxes of detergent it sells contain, on average, more than 500 grams of detergent.

A manufacturer is interested in determining whether it can claim that the boxes of detergent it sells contain, on average, more than 500 grams of detergent. From past experience the manufacturer knows that the amount of detergent in the boxes is approximately normally distributed. The firm selects a random sample of 100 boxes and records the amount of detergent in each box. This data is given in the attached file.

Formulate an appropriate hypothesis test and report a p-value. Do you find statistical support for the manufacturer's claim? Explain.

Based on the data in the attached file, is it still reasonable for the manufacturer to assume that the amount of detergent in these boxes is normally distributed? Perform a chi-square goodness-of-fit test. Report and interpret the computed p-value.

#### Solution Preview

Hypothesis: H0: m = 500 grams vs. HA: m > 500 grams
Level of Significance: a = 5%
Decision Rule: ...

#### Solution Summary

This solutions formulates a hypothesis test for a manufacturing selling boxed detergent and calculates the p-value. It also performs a chi-squre goodness-of-fit test.

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