OO IDEAS X * Course Hero * Course Hero X Course Hero X Homework Help - Q& x * Homework Help - Q& X + X C imathas.humber.ca/assess2/?cid =493&laid=18010#/skip/5 Q 2 IM HUMBER COLLEGE OO STAT1112 Recently, the All About Skin research clinic published a report stating that the regular 1hr47 mins application of a very popular sunscreen lotion NoTitan might cause some forms of skin cancer. The manufacturer of NoTitan issued an energetic counterstatement asserting that the All About Skin clinic's conclusions were statistically inconsistent. Be Healthy pharmacy chain has been selling NoTitan lotion for a long time. The market research department of Be Healthy wants to see what is currently happening with No Titan lotion demand. The members of a random sample of customers were asked about their willingness to use NoTitan 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. Part I. Suppose that differences are d = Before - After . Find the sample mean d and sample standard deviation sa of the differences. Step 1. Fill in the column "d = Before - After " of the table. Then, calculate d and fill in the cell below the table. Step 2. Using d , fill in the last two columns of the table. Participant Before After |d d - d (a - d) W -2 3 5 3 4 2 Type here to search O 9 W 2:38 PM 10"C Mostly sunny ~ 9 40 7 (x 2022-04-20OO IDEAS X * Course Hero * Course Hero X Course Hero X Homework Help - Q& x * Homework Help - Q& X + X C imathas.humber.ca/assess2/?cid =493&laid=18010#/skip/5 Q 2 IM MY HUMBER COLLEGE DO STAT1112 Step 2. Using d , fill in the last two columns of the table. 1hr47 mins Participant Before After d d - d (d - d) 1 W 2 -2 0 3 3 4 5 5 3 Total Sample mean of the differences is d = Please, round your answer to 2 decimal places. Standard deviation of the differences is $d = 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 NoTitan lotion. Hint: Use the Student t distribution test for matched pairs and the following formula - Hd tat (a) State the null and alternative hypotheses, and identify which one is the claim. Type here to search O W 2:38 PM 10"C Mostly sunny ~ 9 40 7 (x 2022-04-20DO IDEAS X * Course Hero X * Course Hero X Course Hero X Homework Help - Q& x * Homework Help - Q& X + X C imathas.humber.ca/assess2/?cid=493&aid=18010#/skip/5 Q 2 IM H HUMBER COLLEGE OO STAT1112 (a) State the null and alternative hypotheses, and identify which one is the claim. 1hr47 mins Ho: Select an answer v ? v Select an answer n XIT ad ? V Which one is the claim? OH O Ho (b) Identify the test type and find the critical value(s). The test is [Select an answer V Please select the correct sign for the critical value(s) and keep 3 decimal places in your answer. Critical value (s) = [ v (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. tat (d) Is the null hypothesis rejected? Is the alternative hypothesis supported? W 2:38 PM Type here to search O 10"C Mostly sunny ~ 9 40 7 (x 2022-04-20DO IDEAS X * Course Hero X * Course Hero X Course Hero X Homework Help - Q& x * Homework Help - Q& X + X C imathas.humber.ca/assess2/?cid=493&aid=18010#/skip/5 QE IM H HUMBER COLLEGE OO STAT1112 (a) State the null and alternative hypotheses, and identify which one is the claim. 1hr46mins Ho: Select an answer V ? v H1: Select an answer V Which one is the claim? OH O Ho (b) Identify the test type and find the critical value(s). The test is [ Select an answer V Please select the correct sign for the critical value(s) and keep 3 decimal places in your answer. Critical value (s) = [ v (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. tat (d) Is the null hypothesis rejected? Is the alternative hypothesis supported? 2:38 PM Type here to search O W 10"C Mostly sunny ~ 9 40 7 (x 2022-04-20DO IDEAS X * Course Hero X * Course Hero X Course Hero X Homework Help - Q& x * Homework Help - Q& X + X C imathas.humber.ca/assess2/?cid=493&aid=18010#/skip/5 QE IM H HUMBER COLLEGE OO STAT1112 (a) State the null and alternative hypotheses, and identify which one is the claim. 1hr46mins Ho: [Select an answer V 2 v H1: Select an answer v ? v Select an answer Whi ? O Ho (b) Identify the test type and find the critical value(s). The test is [Select an answer V Please select the correct sign for the critical value(s) and keep 3 decimal places in your answer. Critical value (s) = [ v (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. tat (d) Is the null hypothesis rejected? Is the alternative hypothesis supported? Type here to search O W 2:38 PM 10"C Mostly sunny ~ 9 40 7 (x 2022-04-20DO IDEAS X * Course Hero X * Course Hero X Course Hero X Homework Help - Q& x * Homework Help - Q& X + X C imathas.humber.ca/assess2/?cid=493&aid=18010#/skip/5 QE IM H HUMBER COLLEGE OO STAT1112 (a) State the null and alternative hypotheses, and identify which one is the claim. 1hr46mins Ho: [Select an answer V] ? H1: Select an answer V ? v ? Which one is the claim OH O Ho (b) Identify the test type and find the critical value(s). The test is [Select an answer V Please select the correct sign for the critical value(s) and keep 3 decimal places in your answer. Critical value (s) = [ v (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. tat (d) Is the null hypothesis rejected? Is the alternative hypothesis supported? 2:38 PM Type here to search O W 10"C Mostly sunny ~ 9 40 7 (x 2022-04-20OO IDEAS X * Course Hero Course Hero X Course Hero X Homework Help - Q& x * Homework Help - Q& X + X C imathas.humber.ca/assess2/?cid =493&laid=18010#/skip/5 QE IM HUMBER COLLEGE OO STAT1112 O Ho 1hr46mins (b) Identify the test type and find the critical value(s). The test is Select an answer v Select an answer Please seleft-tailed right-tailed gn for the critical value(s) and keep 3 decimal places in your answtwo-tailed Critical value (s) = [ v (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. tat = (d) Is the null hypothesis rejected? Is the alternative hypothesis supported? O Fail to reject Ho (claim) and support H1 O Reject Ho (claim) and fail to support H1 O Reject Ho and support H1 (claim) O Fail to reject Ho and fail to support H1 (claim) (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. Type here to search O W 2:38 PM 10"C Mostly sunny ~ 9 40 7 (x 2022-04-20OO IDEAS X * Course Hero Course Hero X Course Hero X Homework Help - Q& x * Homework Help - Q& X + X C imathas.humber.ca/assess2/?cid =493&laid=18010#/skip/5 QE IM HUMBER COLLEGE OO STAT1112 O Ho 1hr46mins (b) Identify the test type and find the critical value(s). The test is [Select an answer v Please select the correct sign for the critical value(s) and keep 3 decimal places in your answer. Critical value (s) = ? v ? (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. tat = (d) Is the null hypothesis rejected? Is the alternative hypothesis supported? O Fail to reject Ho (claim) and support H1 O Reject Ho (claim) and fail to support H1 O Reject Ho and support H1 (claim) O Fail to reject Ho and fail to support H1 (claim) (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. Type here to search 2:39 PM O W 10"C Mostly sunny ^ 9 40 7 (x 2022-04-20DO IDEAS X * Course Hero * Course Hero X Course Hero X Homework Help - Q& x * Homework Help - Q& X + X C imathas.humber.ca/assess2/?cid =493&laid=18010#/skip/5 QE IM HUMBER COLLEGE OO STAT1112 1hr46mins (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. tat (d) Is the null hypothesis rejected? Is the alternative hypothesis supported? O Fail to reject Ho (claim) and support H1 O Reject Ho (claim) and fail to support Hi O Reject Ho and support H1 (claim) O Fail to reject Ho and fail to support H1 (claim) (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. 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. O The scores become significantly higher after publication. Question Help: Message instructor All Work 2:39 PM Type here to search O W 10"C Mostly sunny ~ 9 40 7 (x 2022-04-20