Recently, the All About Skin research clinic published a report stating that the regular application of a very popular sunscreen lotion NoHelios might cause some forms of skin cancer. The manufacturer of NoHelios issued an energetic counterstatement asserting that the All About Skin clinic's conclusions were statistically inconsistent. Wellbeing pharmacy chain has been selling NoHelios lotion for a long time. The market research department of Wellbeing wants to see what is currently happening with NoHelios lotion demand. The members of a random sample of customers were asked about their willingness to use NoHelios before and after the publication of All About Skin clinic's report. The answers were provided in form of a score from 0 to 10 (higher score means more willingness). Results for five customers are shown in the following table. The "before" score is matched to the "after" score, and the difference should be calculated. Suppose that it is known that such differences have approximately bell- shaped distribution.Participant Before After d d - d (d - d 7 5 5 5 Total Sample mean of the differences is d = Please, round your answer to 2 decimal places. Standard deviation of the differences is sa - Part II. At a 4% significance level test the claim that the publications of All About Skin clinic's report reduced, on average, the willingness to use NoHelios lotion. Hint: Use the Student f distribution test for matched pairs and the following formula d - pa (# ) (a) State the null and alternative hypotheses, and identify which one is the claim.H1: Select an answer v 7 Which one is the claim? OHo (b) Identify the test type and find the critical value(s). The test is Select an answer Please select the correct sign for the critical value(s) and keep 3 decimal places in your answer. Critical value (s) = 7% (c) What is the test statistic? You do not need to enter the sign of the test statistic in the separate box. Put minus sign if the value is negative and put no sign if the value is positive. Round your answers to 2 decimal places. (d) is the null hypothesis rejected? Is the alternative hypothesis supported? O Reject Ho and support #, (claim) Fail to reject Ho (claim) and support Hy Fail to reject Ho and fail to support H. (claim(d) Is the null hypothesis rejected? Is the alternative hypothesis supported? O Reject Ho and support H1 (claim) O Fail to reject Ho (claim) and support H1 O Fail to reject Ho and fail to support H, (claim) O Reject Ho (claim) and fail to support H, (e) Select the correct conclusion. O At a 4% level of significance, the sample data support the claim that the scores, on average, become lower after publication. The scores become significantly higher after publication. O We prove that the scores before and after publication are equivalent. O At a 4% level of significance, there is not sufficient sample evidence to support the claim that the scores, on average, become lower after publication