Students are planning a bake sale to raise money to purchase new uniforms for the volleyball team at a local high school. They would like to generate the best possible results and have therefore been experimenting with cupcake recipes. Nine different recipes are chosen and baked. The same recipes with 50% additional baking powder are then baked, leaving all other aspects of the recipe unchanged. They then measured the height of the cupcakes paired by recipe. The sample mean of the differences isd

=0.10

d=0.10and the sample standard deviation of the differences iss

D

=0.120

sD=0.120. Perform a hypothesis test at the 1% level of significance to determine if the height of cupcakes rises with the additional baking powder. Assume the distribution of cupcake heights is normally distributed.