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2. A group of Brigham Young University—Idaho students collected data on the speed of vehicles traveling...

2. A group of Brigham Young University—Idaho students collected data on the speed of vehicles traveling through a construction zone on a state highway, where the posted speed was 25 mph. The recorded speed (in mph) of 14 randomly selected vehicles is given below. 20, 24, 27, 28, 29, 30, 32, 33, 34, 36, 38, 39, 40, 40

a) Assuming speeds are approximately normally distributed, construct a 95% confidence interval for the true mean speed of drivers in this construction zone. Interpret the interval.

b) What conclusions do you draw about the speeds people drive in this construction zone?

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