2710 001 FINAL A SPRING 10 SOLUTIONS

# With a new football stadium being built unt is

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7. With a new football stadium being built, UNT is considering pricing changes for “Premium Parking”. They take a sample of 64 season ticket holders from a population that is normally distributed and has a known standard deviation of 12. They find the mean of this sample to be \$20. The Upper Confidence Limit for the ticket price at the 95% level is? A. \$22.94* B. \$24.18 C. \$32.00 D. \$28.04 8. Using the data in Question #7 above, what should the maximum sample size be if the manager says that a maximum error of \$4 will be fine at this 95% confidence level. Round up to the nearest whole number. 9. At UNT, 70% of the students are U.S. citizens; and 40% of all the students are married. Also 14% of the students are married and non-U.S. citizens. Given the student is not married , what is the probability that the student is a U.S. citizen? 10. What is the probability that a Poisson random variable is exactly 4 if the mean is 3.1?

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11. From the UNT population a sample of 31 students is taken at random to estimate the time spent per day sending or reading text messages. The mean of the sample is 122 minutes with a sample standard deviation of 49 minutes. What is the UCL for a 90% Confidence Interval for this estimate of the mean? A. 171.0 B. 109.8 C. 136.9* D. 146.7 Problems 12 - 14 use the following information Datacomp Survey of Microcomputer Purchasers. Age (Years) < 30 30–45 > 45 Sex (U) (B) (O) Total Male (M) 60 20 40 120 Female (F) 40 30 10 80 Total 100 50 50 200
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