The following data (see the drink.xls file) represent the amount of soft-drink filled in a sample of 50 consecutive 2-liter bottles. The results, listed horizontally in the order of being filled,...

The following data (see the drink.xls file) represent the amount of soft-drink filled in a sample of 50 consecutive 2-liter bottles. The results, listed horizontally in the order of being filled, were:

a. At the 0.05 level of significance, is there evidence that the mean amount of soft drink filled is different from 2.0 liters?

b. Determine the p-value in (a) and interpret its meaning.

c. Evaluate the population distribution assumption you made in (a) graphically. Are the results of (a) valid? Why?

d. Examine the values of the 50 bottles in their sequential order, as given in the problem. Is there a pattern to the results? If so, what impact might this pattern have on the validity of the results in (a)?