Problem 2 Speeding in a construction zone A group of Brigham Young UniversityIdaho students collected data on the speed of vehicles traveling through a construction zone on a state highway, where the 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 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 Construct a 99 confidence interval for the true mean speed of drivers in this construction zone Interpret the interval Compare the widths of the 95 and 99 confidence intervals What conclusions do you draw about the speeds people drive in this construction zone

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Question: Problem 2: Speeding in a construction zone A group of Brigham Young UniversityIdaho students collected data on the speed of vehicles traveling through a construction

Problem 2: Speeding in a construction zone

A group of Brigham Young UniversityIdaho students collected data on the speed of vehicles traveling through a construction zone on a state highway, where the 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

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.
Construct a 99% confidence interval for the true mean speed of drivers in this construction zone. Interpret the interval.
Compare the widths of the 95% and 99% confidence intervals.
What conclusions do you draw about the speeds people drive in this construction zone?

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