For each problem, complete the following steps:(a) State the null and alternative hypothesis.(b) Determine which distribution to use for the test statistic, and state the level of significance. (c) Calculate the test statistic.(d) Draw a conclusion and interpret the decision. 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.

State the hypotheses. That is, the true population mean equals 55. That is, the true population…

Answered: For each problem, complete the…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 8E: List the sample space of each experiment. Picking a one-digit number

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For each problem, complete the following steps:
(a) State the null and alternative hypothesis.
(b) Determine which distribution to use for the test statistic, and state the level of significance.
(c) Calculate the test statistic.
(d) Draw a conclusion and interpret the decision.

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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