A post-mix beverage machine is adjusted to release a certain amount of syrup into a chamber where it is mixed with carbonated water. A random sample of 25 beverages was found to have a mean syrup content of fluid ounces and a standard deviation of s  0.016 fluid ounces.

(a) Do the data presented in this exercise support the claim that the mean amount of syrup dispensed is not 1.0 fluid ounce? Test this claim using   0.05.

(b) Do the data support the claim that the mean amount of syrup dispensed exceeds 1.0 fluid ounce? Test this claim using  0.05.

(c) Consider the hypothesis test in part (a). If the mean amount of syrup dispensed differs from   1.0 by as much as 0.05, it is important to detect this with a high probability (at least 0.90, say). Using s as an estimate of , what can you say about the adequacy of the sample size n  25 used by the experimenters?

(d) Find a 95% two-sided CI on the mean amount of syrup dispensed.