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In: Statistics and Probability

A bottled water distributor wants to determine whether the mean amount of water contained in​ 1-gallon...

A bottled water distributor wants to determine whether the mean amount of water contained in​ 1-gallon bottles purchased from a nationally known water bottling company is actually 1 gallon. You know from the water bottling company specifications that the standard deviation of the amount of water is 0.03 gallon. You select a random sample of 50 ​bottles, and the mean amount of water per​ 1-gallon bottle is 0.993 gallon. Complete parts​ (a) through​ (d) below.

a. Is there evidence that the mean amount is different from 1.0 ​gallon? (Use α equals=0.05.)

Let be the population mean. Determine the null​ hypothesis,

Upper H 0H0​,

and the alternative​ hypothesis,

Upper H 1H1.

What is the test​ statistic?

What​ is/are the critical​ value(s)? (Use

alphaαequals=0.050.05​.)

What is the p value?

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