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 its meaning.
c. In (a), you assumed that the 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) is valid? Explain.
e. Examine the values 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)?
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