state the conclusion construct a 99% confidence interval for the difference between the average densities for the two mixes.

An experiment was conducted to compare the densities {in ounces per cubic inch) of cakes prepared from two different cake mixes. Six cake pans were lled with batter A, and six were lled with better B. Expecting a variation in oven temperature, the experimenter placed a pan lled 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. Location 1 2 3 4 5 6 Batter A 0.134 0.101 0.099 0.140 0.130 0.145 BatterB 0.128 0.119 0.111 0.153 0.134 0.164 IE USE SALT (a) Do the data present sufficient evidence to indicate a difference between the average densities of cakes prepared using the two types of batter? (Use a = 0.01. Use *\"BatterA amers = pd.) State the null and altematlve hypotheses. 0 Ho: pd 0 0 Ho: pd = 0 versus Ha: yd at 0 0 Ho: pd at 0 versus Ha: pd = (I O Ho: pd = CI versus Ha: '\"o' > 0 O Ho: yd = CI versus Ha: \"d