2710 FINAL K 001 SPRING 09 SOLUTIONS

# The sample mean is a 3050 b 3117 c 1500 d 3522 10 the

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9. The sample mean is: A. 30.50 B. 31.17* C. 15.00 D. 35.22 10. The sample standard deviation is: 11. The 60 th Percentile is

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For problems 12 through 14 use the following information. Reason for Graduate School Choice Status Quality Convenience Cost TOTAL Full Time 156 65 88 309 Part Time 84 143 144 371 TOTAL 240 208 232 680 12. Given that a student chooses based on Quality; what is the probability that the student is Full Time? 13. If a student is selected at random, what is the probability that the student will be part time? A. .88 B. .350 C. .546* D. .782 14. What is the probability that a student selected at random is Full Time OR chose based on Convenience? 15. As gas prices rose last year, more and more people took public transportation to work. It is estimated that 30% of workers were taking public transit to their job locations. If we take a random sample of 10 workers, what is the probability that exactly 5 will be riding public transportation?
16. Using the data in Question #15 above, what is the probability that you will have less than 3 transit riders in the sample? 17. What is the probability that the value of a t – distributed random variable, with 10 degrees of freedom, will be less than 2.228? A. .025* B. .975 C. .475 D. .950 18. If the Upper Confidence Limit for a 90% Confidence Limit is 260 and the Lower Confidence Limit is 320, the mean is: 19. A manufacturing plant has 530 hourly employees. The human resources manager monitors absenteeism for four weeks, i.e., 20 workdays. The numbers of absentees are listed below. 39 46 38 46 53 52 56 61 51 55 52 49 44 39 53 68 101 70 54 52 The total number of absentees for the 20 days was 1,079. What is the upper control limit for a p-chart? What is the estimate of the proportion of defective items?

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