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The scores on a Statistics exam are normally distributed with a mean 75 with a standard...

The scores on a Statistics exam are normally distributed with a mean 75 with a standard deviation of 5. If nine students are randomly selected what is the probability that their mean score is greater than 68. (a) .0808 (b) -.4000 (c) .9192 (d) .0001 (e) .9999 29. Refer to question 28. Suppose that students with the lowest 10% of scores are placed on academic probation, what is the cutoff score to avoid being placed on academic probation? (a) > 81.4 (b) > 68.6 (c) -.28 (d) -1.28 (e) .8997 The College Board reports that the in 2016, the mean mathematics SAT score was 515, and the standard deviation was 116. A sample of 65 scores is chosen from the population of all SAT scores. Find the probability that the sample mean score is less than 500. (a) .1492 (b).8508 (c) -.13 (d) .4483 (e) .5517 34. Refer to question 33. Find the probability that the sample mean score is between 480 and 520. (a) .1358 (b) .3475 (c) .6293 (d) .3707 (e).6923 35. Refer to question 33. Find the 80th percentile of the sample mean. (a) 613 (b) .8416 (c) 97.62 (d) 417 (e) 631 36. Refer to question 33. Would it be unusual if the sample mean were greater than 550? (a) No (b) Yes 37. Do you think it would be unusual for an individual to get a score greater than 550? (a) No (b) Yes 38. A value that is 2 standard deviations below the mean will have a z-score of: (a) 2.00 (b) .05 (c) .9500 (d) -2.00 (e) -1.50 SHOW WORK

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