10.101 Cake Mixes An experiment was conducted to compare the densities (in grams per cubic centimetre) of cakes prepared from two different cake mixes. Six cake pans were filled with batter A, and six were filled with batter B. Expecting a variation in oven temperature, the experimenter placed a pan filled with batter A and another with batter B side by side at six different locations in the oven. The six paired observations of densities are as follows:

a. Do the data present sufficient evidence to indicate a difference between the average densities of cakes prepared using the two types of batter?

b. Construct a 95% confidence interval for the difference between the average densities for the two mixes.

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Batter A 0.135 0.102 0.098 0.141 0.131 0.144 Batter B 0.129 0.120 0.112 0.152 0.135 0.163