Students Are Planning a Bake Sale to Raise Money to Purchase

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 difference " with a sample standard deviation of ".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.