Question: Suppose 100 randomly selected students at CCNY are given a standardized quiz. The test is scored from 0-100. After all students have taken the quiz,
Suppose 100 randomly selected students at CCNY are given a standardized quiz. The test is scored from 0-100. After all students have taken the quiz, you tally up the scores and find that the average score is 58 and the sample standard deviation is 8. Suppose additionally, for comparison's sake, that you give the SAME standardized quiz to a group of 200 randomly selected students from Baruch College. Theiraverage score is 62 and the sample standard deviation is 11. Suppose an employer believes that the difference in means between CCNY and Baruch is -10. You want to conduct a hypothesis test to test this. You construct a 99% rejection region for the test statistic. Where must the test statistic fall to fail to reject the hypothesis?
| a. | (-2.60, 2.60) | |
| b. | (-1.65, 1.65) | |
| c. | (-1.66, 1.66) | |
| d. | None of these | |
| e. | (-2.63, 2.63) |
Suppose 100 randomly selected students at CCNY are given another standardized quiz. The test is scored from 0-100. After all students have taken the quiz, you tally up the scores and find that the average score is 58 and the sample standard deviation is 30 (same average, higher standard deviation). Suppose additionally, for comparison's sake, that you give the SAME standardized quiz to a group of 200 randomly selected students from Baruch College. Theiraverage score is 62 and the sample standard deviation is 20 (same average, higher standard deviation). Suppose an employer believes that the difference in means between CCNY and Baruch is -10. You want to conduct a hypothesis test to test this. Would you reject this hypothesis?
| a. | Yes, at the 99% confidence level | |
| b. | None of these | |
| c. | No, at the 99% confidence level | |
| d. | No, at the 90% confidence level. | |
| e. | Yes, at the 95% confidence level. |
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