2710 FINAL K 001 SPRING 09 SOLUTIONS

# If a sample of 5 students is taken what is the

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5. If a sample of 5 students is taken, what is the probability that the mean course load for this sample will be less than 16 hours? A. .0314 B. .4283 C. .6499 D. .9686* 6. Suppose the sample size is cut to 4 students. Will the probability of the sample mean being less than 16 hours increase or decrease? A. Increase B. Decrease* 7. A forecasting manager wants to develop a 90% confidence interval for his summer volume forecast of Suntan Lotion sales used in budgeting. A sample of 25 days indicates that the sales are normally distributed with a sample mean of 2000 cases per day and a known standard deviation of 300 cases. The upper limit of the 90% confidence interval will be (rounded to nearest 100): 8. Health insurance coverage has become a large issue. A survey is carried out relating health insurance coverage and age. It is found that 33.5% of the sample are <40 years of age; while 55.0% of the total sample has coverage. Of those who have coverage, 60.0% were >= 40 years of age. What is the probability of choosing a person at random that is covered by insurance and <40 years of age?

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For problems 9, 10 &11 use the following: A sample of 6 UNT students, living off campus and not in Denton, is taken with regard to their one way driving distance to campus. The results are shown below in miles. Mileage Mileage 24 27 Mean 30 Standard Error 2.27180 8 31 Median 30.5 36 Mode #N/A 39 Standard Deviation Sample Variance 30.9666 7 Kurtosis -0.9561 Skewness 0.26384 7 Range 15 Minimum 24 Maximum 39 Sum 187 Count 6
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