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(b). Dundee Dog Training School has a larger than average proportion of clients who compete in competitive professional events. A confidence interval for the population proportion of dogs that compete in professional events from 150 different training schools is constructed. The lower limit is 0.08 and the upper limit is 0.16. Determine the level of confidence used. [Hint: Margin of error = (upper limit -lower limit)/2 a sample proportion Phat = (upper limit + lower limit)/ 2] Solo. Q;(a).A sports statistician claims that the mean winning times for Boston Marathon Women's open division championship is at least 2.68 hours. The mean winning time of a sample of 30 randomly selected Boston Marathon Women's open division championship is 2.60 hours. Assume the population standard deviation is 0.32 hour. At a = 0.05 can you reject the claim? USe the p-value approach. 591a. (b). The height (in feet) of 36 randomly selected top-rated roller coasters are listed as follows. 325 188 306 107 208 167 105 78 140 232 230 170 107 205 305 135 200 200 100 223 135 195 80 90 120 210 82 160 245 88 70 116 121 146 149 124 Assume the population standard deviation is 71.6 feet. at a = 0.01, is there enough evidence to reject the claim that the mean height of top-rated roller coaster is 160 feet? Use the critical value approach seal 1(a). Jeffrey an 8-year-old established a mean time of 16.43 seconds for swimming the 25-yard freestyle with a standard deviation of 0.8 seconds. His Dad, Frank, thought that Jeffrey could swim the 25yard freestyle faster using the goggles, so he bought Jeffrey a new pair of expensive goggles and times him for 15 25-yard freestyle swims. For these 15 swims. Jeffrey's mean time was 16 seconds. Frank thought that the goggles helped Jeffrey to swim faster than the 16.43 seconds. Conduct a hypothesis test at a = 0.05. Use the critical value approach. 5910