Hello tutor, could you kindly help solve two questions. Please provide working for the incorrect answers and unfilled blanks. Thank you

2. [0.5/3.5 Points] DETAILS PREVIOUS ANSWERS MY NOTES PRACTICE ANOTHER A market research firm used a sample of individuals to rate the purchase potential of a particular product before and after the individuals saw a new television commercial about the product. The purchase potential ratings were based on a 0 to 10 scale, with higher values indicating a higher purchase potential. Test to determine if the data provide evidence that the commercial improved the mean purchase potential rating. Use a = 0.05 and the following data to test the hypothesis and comment on the value of the commercial. Purchase Rating Individual After Before 6 2 6 4 3 7 7 4 4 3 5 3 7 6 9 8 7 7 5 8 6 7 Select the correct null and alternative hypotheses. (Use / = mean difference of rating after - rating before.) OHo: Hd = 0 Ha: H 0 Calculate the value of the test statistic. (Round your answer to three decimal places.) 0.323 X Use EXCEL to find the p-value. (Round your answer to four decimal places.) p-value = 0.3781 At a = 0.05, what is your conclusion? O Do not Reject Ho. There is sufficient evidence to conclude that seeing the commercial improves the mean potential to purchase. Do not reject Ho. There is not sufficient evidence to conclude that seeing the commercial improves the mean potential to purchase. O Reject Ho. There is not sufficient evidence to conclude that seeing the commercial improves the mean potential to purchase. Reject Ho. There is sufficient evidence to conclude that seeing the commercial improves the mean potential to purchase. (125 Tutorial3. [0.5/3.5 Points] DETAILS PREVIOUS ANSWERS MY NOTES PRACTICE ANOTHER You may need to use the appropriate appendix table to answer this question. The following summary statistics are from random samples taken from two independent populations. Sample 1 Sample 2 n, = 20 72 = 30 X1 = 22.7 *7 = 20.1 51 = 2.3 S, = 4.2 (a) What is the point estimate of the difference of population means between Population 1 and Population 2, that is of (#1 - #2)? 2.5 X (b) What is the degrees of freedom for the t distribution? For this particular type of hypothesis test, you will always be provided with the correct degrees of freedom. For this problem $1 + $2 2.32 + 4.22 2 df = n2 20 30 = 46.6. Enter this value, rounded DOWN to the nearest whole number, in the box below. 1 $1 52 1 /2.32 1/4.22\\ 19 20 29 30 degrees of freedom = 46 (c) At 95% confidence, what is the margin of error? (Round your answer to one decimal place.) (d) State the 95% confidence interval for the difference of population means between Population 1 and Population 2, that is for (#1 - #2). Round your answers to one decimal place.) to ( Tutorial