Anna's project for her introductory statistics course was to compare the selling prices of textbooks at two Internet bookstores. She first took a random sample of ten textbooks used that term in courses at her college, based on the list of texts compiled by the college bookstore. Then, she obtained prices of the 10 randomly selected textbooks at the two Internet sites to test if the average prices of textbooks sold at the two internet bookstores are different. The prices of those textbooks at the two Internet sites are shown below. Perform a significance test comparing the population mean prices.
Site A $115 $79 $42 $138 $96 $25 $81 $97 $117 $69
Site B $110 $79 $39 $129 $96 $2 569 $97 $107 $66 5
Let mu_d be the population mean difference in price. State the hypotheses to test whether there is a difference in the mean price between the two Internet bookstores. Choose the correct answer below.
A. H_0: mu_d notequalto 0 and H_a: mu_d = 0
B. H_0: mu_d = 0 and H_3: mu_d > 0
C. H_0: mu_d = 0 = 0 and H_a: mu_d notequalto 0
D. H_0: mu_d = 0 and H_a: mu_d < 0
1. Determine the test statistic t = ______(Round to three decimal places as needed.)
2. Determine the P-value. P-value = _______(Round to three decimal places as needed.)