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 55 bottles, and the mean amount of water per 1-gallon bottle is 0.996 gallon. Complete parts (a) through (d) below.

a. Is there evidence that the mean amount is different from

1.0

gallon? (Use

=0.05.)

Let

be the population mean. Determine the null hypothesis,

H0,

and the alternative hypothesis,

H1.

H0:

equals=

1

H1:

not equals

1

What is the test statistic?

ZSTAT=enter your response here

(Round to two decimal places as needed.)