A coin-operated drink machine was designed to discharge a mean of6ounces of coffee per cup. In a test of the machine, the discharge amounts in21 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were6.05 ounces and0.13 ounces, respectively. If we assume that the discharge amounts are normally distributed, is there enough evidence, at the0.05 level of significance, to conclude that the true mean discharge,, differs from6 ounces?

a. The null hypothesis:H0=

b. The alternative hypothesis: H1=

c. The type of test statistic:

d. The value of the test statistic:

(Round to at least three decimal places.)

e. The two critical values at the0.05 level of significance:

(Round to at least three decimal places.)

f. At the 0.05 level of significance, can we conclude that the true mean discharge differs from6

ounces?