Question

31. The probability that a student passes Biology is 0.75 and the probability that the student passes English is 0.82. The probability that a student passes both subjects is 0.62.   Find the probability that a student passes only Biology.

32. An experiment is conducted to determine whether intensive tutoring (covering a great deal of material in a fixed amount of time) is more effective than paced tutoring (covering less material in the same amount of time). Two randomly chosen groups are tutored separately and then administered proficiency tests. The data collected and summarized below: Group1 (the intensive group) consisted of 15 students and resulted in an average grade of 52.7 with a standard deviation of 12.1. group 2 (the paced group) consisted of 17 students and resulted in an average grade of 45.96 with a standard deviation of 6.52. Assume that the population variances of both groups are different.   Find the test statistic to test if intensive tutoring is more effective than paced tutoring at the significance level of 0.01.
33. Twenty people were selected to participate in a psychology experiment. They answered a short multiple-choice quiz about their attitudes on abortion and then viewed a 50-minute film. The following day the same 20 people were asked to answer a follow-up questionnaire about their attitudes. At the completion of the experiment, the experimenter will have two sets of scores. Do these two samples represent dependent or independent samples?

29. The standard deviation of several temperature measurements in Fahrenheit is 13. If we transform these temperature measurements into Celsius, what is the standard deviation of these 10 temperature measurements in Celsius?

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Answer 1

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