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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

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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 a = 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 6 7 8 Ch Rating (last year) 6 8 3 5 5 7 8 6 Rating (this year) 6 8 3 5 4 7 8 6 (c) Calculated and 5d- d = (Type an integer or a decimal.) Calculate 5d- 5d = E (Type an integer or a decimal. Round to three decimal places as needed.) (d) Use the t-test to nd the standardized test statistic t. FD (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. 0 Reject the null hypothesis. 0 Fail to reject the null hypothesis. (f) Interpret the decision in the context of the original claim. Choose the correct answer below. 0 A. The sample was not large enough to make a conclusion. 0 B. At the 5% signicance level, there is enough evidence to support the claim that the product ratings have changed from last year to this year. O c. The product ratings have changed from last year to this year. O D. At the 5% signicance level, there is not enough evidence to support the claim that the product ratings have changed from last year to this year

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