In: Statistics and Probability
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?