Skittles Statistics teacher Jason Molesky contacted the

QUESTION:

Skittles Statistics teacher Jason Molesky contacted the M&M/Mars Company to ask about the color distribution for Skittles. Here is an excerpt of the response he received: Th e original fl avor blend for the SKITTLES BITE SIZE CANDIES is lemon, lime, orange, strawberry and grape. Th ey were chosen as a result of consumer preference tests we conducted. Th e fl avor blend is 20 percent of each fl avor. (a) State appropriate hypotheses for a signifi cance test of the companys claim. (b) Find the expected counts for a bag of Skittles with 60 candies. (c) How large a x 2 statistic would you need to get in order to have signifi cant evidence against the companys claim at the a 5 0.05 level? Refer to Table E (in the back of the book). (d) How large a x 2 statistic would you need to get in order to have signifi cant evidence against the companys claim at the a 5 0.01 level?