The Manager of a Grocery Store Wants to Determine Whether

question 40

Essay

The manager of a grocery store wants to determine whether the amount of water contained in 1-gallon bottles purchased from a nationally known manufacturer actually averages 1 gallon.It is known from the specifications that the standard deviation of the amount of water is equal to 0.02 gallon.A random sample of 32 bottles is selected,and the mean amount of water per 1-gallon bottle is found to be 0.995 gallon.Calculate the p-value and test whether the specifications are being met at α = .001 using the p-value rule.

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Definitions:

Uniformly Distributed

Uniformly distributed indicates that all outcomes in a data set or probability distribution have the same or nearly equal chance of occurring.

Standard Deviation

A tool to determine the degree of difference or dispersion within a batch of data.

Standard Normal

A type of normal distribution with a mean of 0 and a standard deviation of 1.

Random Variable

A numerical value variable resulting from random phenomena.