Question 10.

The following data resulted from a taste test of two different chocolate bars. The first number is a rating of the taste, which could range from 0 to 5, with a 5 indicating the person liked the taste. The second number indicates whether a "secret ingredient" was present. If the ingredient was present, a code of "1" was used and, if not, a "0" otherwise. At the 0.01 significance level, do these data show a difference in the taste ratings? Hint. For the calculations, assume the chocolate bars with secret ingredient as the first sample. Rating "With/Without" Rating "With/Without" WH UT N PI 41 OHOOP a. State the decision rule. (Negative answer should be indicated by a minus sign. Round the final answers to 3 decimal places.) If t is not between and . reject Ho. b. Compute the pooled estimate of the population variance. (Round the final answer to 3 decimal places.) Pooled estimate of the population variance is c. Compute the value of the test statistic. (Negative answer should be indicated by a minus sign. Round the final answer to 2 decimal places.) The test statistic is d. What is your decision regarding Ho? Do not reject | Ho. There is not enough evidence to reject Ho. e. Determine the p-value. (Round the final answer to 4 decimal places.)