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Recently, the Shine research clinic published a report stating that the regular application of a veryI popular sunscreen lotion NoHelios might cause some fonre of skin cancer. The manufacturer of NoHelios issued an energetic counterstatement asserting that the Shine clinic's conclusions were statistically inconsistent. Take IClare pharmacyr chain has been selling Nol-Ielios lotion for a long time. The market research department of Take Care wants. to see what is currently happening with Nol-lelios lotion demand. The members of a random sample of customers were asked about their willingness to use Hol-Ielios before and after the publication of Shine clinic's report. The answers were provided in form of a score from I] to 11] [higher score means more willinglsi. Result: for five customers are shown in the Following table. The "before' score is matched to the "after' score, and the difference should he calcdated. Suppose that it is known that such differences have approximately bellshaped distritution. Part I. Suppose that differences are d = Before Miner. Find the sample mean {Ifand sample standard deviation 3d! of the differences. Step 1'. Fill in the column "d = Before After ' of the table. Then, calculate cf and fill in the cell below the table. Step 2. Using clT , fill in the last two columns of the table. kmple mean of the differences is cf C] Please. round your answer to- 1 decimal places. Standard deviation of the differences is .13 = :] Part II. At a 4% significance level test the dain'l that the publications of clinic's report reduced,on average, the 1willingness to use NoHelios lotion. Hint: Use the Student t distribution test for matched pairs and the following formula .1' pa (1) y' [all State the null and alternative hypotheses, and identify which one is the claim. Hn_-[:] tn: H1-[:] Which one is the claim? OH\" 0H1