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Sample Final Answers STA2023- Fall 2007 1. Weights: (20.2, 15.6, 12.9, 14.2, 16.7, 15.0) a) X = 15.77 s= 2.52 b) Ho: μ = 15 oz. Ha: μ > 15 oz. T.S. t = 0.7485 compared to t of 1.476, do not reject Ho, conclude that you do not have enough evidence to say weight is more than 15. Assume the distribution of weights is approximately normal. c) p-value = .5000 - .3133 = .1867, conclusion We do not have enough evidence to say the mean weight is more than 15 ounces. 2. You are told that the average temp in Central Florida for Nov. days is between 70 and 85 degrees. a) Assuming a uniform distribution, probability = 1/3 b) Assuming a normal distribution, mean= 77.5, s=3.75, z=-.67 so prob = .2514 c) 2% on right tail, z=2.05 and temp = 85.2 degrees. 3. Following the recent hurricanes 80 customers were asked to keep a record of the exact time from filing an insurance claim until they got a response. The sample information is: mean response time of 12.24 hours with a standard deviation of 1.5 hours. a) What is the probability that a customer will hear back from the insurance company in less than 8 hours? Z=(8-12.24)/1.5 = -2.83, prob = 0.0023 This event is not likely.

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