Statistics Homework Solutions
Problem
#3588

Testing a claim in regards to a mean weight using a confidence level. Complete with a solution diagram.

A flour manufacturer packs flour into paper bags, each of which is supposed to hold 10 pounds, or 160 ounces. Some customers have complained that the bags hold only 9.5 pounds, or 152 ounces. A test is conducted to determine whether the complaint is warranted. The weight of each bag is normally distributed with a Population Standard Deviation of 5 ounces. A sample of 16 bags yields a mean weight of 156 ounces. Shall we reject the null hypothesis of Mean Weight is exactly equal to 160 ounces with a level of significance of .05? Set up the Hypothesis test in "standard form" and then carry out the test.

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