A study was conducted to determine if differences in new statistics textbook prices exist between on-campus bookstores, off-campus bookstores, and Internet bookstores. The study randomly selected 12 statistics textbooks and recorded the price of the textbooks for each of the outlets (hence, a total sample size of 36). The following information is provided:
SSA = 16,626.4
SSTotal = 17,477.6
a. At 0.01 level of significance, can we conclude that there is a difference in textbook prices across the three different outlets? Show all the steps of the hypothesis testing.