We are interested in identifying whether baking temperature has an effect on the thickness of cookies. Here are measurements of chocolate chip cookies baked at two different temperatures. All 16 cookies were baked in a random order.

Assuming the cookie thickness follows a normal distribution, answer the following questions.

a)A researcher claims that the lower baking temperature results in thinner cookies. Is there an evidence to support this statement? Specify the null and alternative hypotheses, state the assumptions, calculate the test statistic, and draw your conclusion appropriately.

b)Suppose that the presented data are matched pairs (in other words, measurements in the same row are obtained by the same technician; also, those two cookies were made using the same ingredients and by the same baker), conduct an appropriate test to determine whether baking temperature have significant impact in mean thickness.

95 Deg C 100 Deg C Difference 11.2 5.3 5.9 7.1 6.7 0.4 8. 1 7.5 0.6 11.7 7 4.7 11.3 8. 1 3.2 O 10.8 7.4 3.4 6.5 3.8 2.7 8.3 9 -0.7 8 9.375 6.85 2.525 S 2.094 1.632 2.26813,0.025 13,0.05 14.0.025 (14,0.05 (7.0.025 17.0.05 18.0.025 18.0.05 2.16 1.77 2.14 1.76 2.36 1.89 2.31 1.86 F7,7,0.975 F7,7,0.025 F7,7,0.05 F8,8,0.975 F8,8,0.025 F8,8,0.05 0.20 4.99 3.79 0.23 4.43 3.44 *For T~ tn, P(T> tn, a) = a. *For F~ FnIn2, P(F> Fn1, n2,a) =