Chapter 9, Problem 30PS

The following data (in Drink) 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 it meaning.

c. In (a), you assumed that the distribution of the amount of soft drink filled was normally distributed. Evaluate this assumption by constructing a boxplot or a normal probability plot.

d. Do you think that the assumption needed in order to conduct the t test in (a) valid? Explain.

e. Examine the value of the 50 bottles in their sequential order, as given in the problem. Does there appear to be a pattern to the results? If so, what impact might this pattern have on the validity of the results in (a)?