In: Statistics and Probability
A group students collected data on the speed of vehicles traveling through a construction zone on a state highway, where the posted speed was 45 mph. The recorded speed (in mph) of 15 randomly selected vehicles is given below.
35
37
40
41
42
44
46
49
52
54
58
61
64
66
67
1. Use Excel Data Analysis to find the mean, median, and mode of the data set. Make sure that you clearly state or point out which numbers are which.
2.Assuming speeds are approximately normally distributed, use Data Analysis to construct a 95% confidence interval for the true mean speed of drivers in this construction zone. Interpret the interval.
3.Construct a 99% confidence interval for the true mean speed of drivers in this construction zone. Interpret the interval.
4.Compare the widths of the 95% and 99% confidence intervals.
5.What conclusions do you draw about the speeds people drive in this construction zone?