A company wants to determine whether its consumer product ratings (0 - 10) have changed from last year to this year. The table below shows the company's product ratings from eight consumers for last year and this year. At = 0.05, is there enough evidence to conclude that the ratings have changed? Assume the samples are random and dependent, and the population is normally distributed. Complete parts (a) through (f). Consumer 1 2 3 4 5 Rating (last year) 5 7 4 Rating (this year) 3 7 3 752 666 567 42 8 8 8 (a) Identify the claim and state Ho and Ha The claim is "The product ratings have Let from last year to this year." be the hypothesized mean of the ratings last year minus the ratings this year. State Ho and Ha. Choose the correct answer below. A. Ho: d #0 Had=0 D. Ho Hd S Ha (b) Find the critical value(s) and identify the rejection region(s). to = B. Ho Hd=0 Ha d #0 E. Ho: d 0 Ha Hd>0 (Use a comma to separate answers as needed. Type an integer or a decimal. Round to three decimal places as needed.) Identify the rejection region. Choose the correct answer below. A. < -2.365, t> 2.365 B. 2.365 C. H Ha: Ha Identify the rejection region. Choose the correct answer below. A. t < -2.365, t>2.365 B. 2.365 C. 1.895 D. t> 1.895 (c) Calculate d and sd. = (Type an integer or a decimal. Do not round.) Calculate Sd. Sd = (Type an integer or a decimal. Round to three decimal places as needed.) (d) Use the t-test to find the standardized test statistic t. t= (Type an integer or a decimal. Round to three decimal places as needed.) (e) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. Fail to reject the null hypothesis. Reject the null hypothesis. (f) Interpret the decision in the context of the original claim. Choose the correct answer below. A. The product ratings have changed from last year to this year. B. At the 5% significance level, there is not enough evidence to support the claim that the product ratings have changed from last year to this year. C. The sample was not large enough to make a conclusion. D. At the 5% significance level, there is enough evidence to support the claim that the product ratings have changed from last year to this year.