Question one
The mean of the vehicle speeds is , the median is and there is no modal vehicle speed.
Question two
The 95% confidence interval for the 15 sampled vehicle speed has a low of and a high of . Therefore, this implies that there is a 95 % chance the true population mean of vehicle speeds in the construction zone is between and .
Question three
The 99% confidence interval for the 15 sampled vehicle speeds has a low of and a high of . Therefore, this implies that there is a 99% chance that the true population mean of vehicle speeds in the construction zone is between and .
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Question four
The 95% confidence interval has a width of while the 99% confidence interval has a width of . The 99% confidence interval has a larger width as compared to the 95% confidence interval because it is more accurate and there’s a higher chance of getting the vehicle speeds’ mean of the population within the interval.
Question five
The speeds that people drive at the construction zone varies extensively and some drive above the required speed of miles per hour. However, there is a both a 95% and 99% chance that the average speeds of the people driving in the construction zone is miles per hour.
