Question: Perform each hypothesis test. Assume that all random samples had an equal chance of being chosen. For each exercise, complete the following steps: 1. State

Perform each hypothesis test. Assume that all random samples had an equal chance of being chosen. For each exercise, complete the following steps:

1. State the null and alternative hypothesis. 2. Determine which distribution to use for the test statistic, and state the level of significance. 3. calculate the test statistic. 4. Draw a conclusion and interpret the decision.

QUESTION: A manufacturer is responsible for making barrels used to store crude oil, which are designed to hold exactly 55 gallons of oil. As part of a routine quality check, a factory manager randomly tests 27 barrels off the assembly line and finds that their mean capacity is 54.7 gallons with a standard deviation of 0.8 gallons. Can the manager say with 99% confidence that the requirements are being met? Assume that the population distribution is approximately normal.

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