The Florida Department of Transportation (FDOT) would like to estimate the average speed of vehicles on I- 95. The mean speed, in miles per hour, of a random sample of vehicles was found to be 90 miles per hour. The standard deviation of the speeds of all vehicles on l-95 is known to be 7 miles per hour. Find three different confidence intervals - one with sample size 56, one with sample size 258, and one with sample size 575. Assume that the mean of each sample is 90 miles per hour. Notice how the sample size affects the margin of error and the width of the interval. Report confidence interval solutions using interval notation. Round solutions to two decimal places, if necessary. • When n = 56, the margin of error for a 90% confidence interval is given by When n = 56, a 90% confidence interval is given by • When n = 258, the margin of error for a 90% confidence interval is given by When n = 258, a 90% confidence interval is given by • When n = 575, the margin of error for a 90% confidence interval is given by When n = 575, a 90% confidence interval is given by If the sample size is increased, leaving all other characteristics constant, the margin of error of the confidence interval will Select an answerv If the sample size is increased, leaving all other characteristics constant, the width of the confidence interval will Select an answerv

MATLAB: An Introduction with Applications
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The Florida Department of Transportation (FDOT) would like to estimate the average speed of vehicles on I-
95. The mean speed, in miles per hour, of a random sample of vehicles was found to be 90 miles per hour.
The standard deviation of the speeds of all vehicles on l-95 is known to be 7 miles per hour.
Find three different confidence intervals - one with sample size 56, one with sample size 258, and one with
sample size 575. Assume that the mean of each sample is 90 miles per hour. Notice how the sample size
affects the margin of error and the width of the interval.
Report confidence interval solutions using interval notation. Round solutions to two decimal places, if
necessary.
• When n = 56, the margin of error for a 90% confidence interval is given by
When n =
56, a 90% confidence interval is given by
• When n
258, the margin of error for a 90% confidence interval is given by
When n = 258, a 90% confidence interval is given by
• When n
575, the margin of error for a 90% confidence interval is given by
When n = 575, a 90% confidence interval is given by
If the sample size is increased, leaving all other characteristics constant, the margin of error of the
confidence interval will Select an answerv
If the sample size is increased, leaving all other characteristics constant, the width of the confidence
interval will Select an answerv
Transcribed Image Text:The Florida Department of Transportation (FDOT) would like to estimate the average speed of vehicles on I- 95. The mean speed, in miles per hour, of a random sample of vehicles was found to be 90 miles per hour. The standard deviation of the speeds of all vehicles on l-95 is known to be 7 miles per hour. Find three different confidence intervals - one with sample size 56, one with sample size 258, and one with sample size 575. Assume that the mean of each sample is 90 miles per hour. Notice how the sample size affects the margin of error and the width of the interval. Report confidence interval solutions using interval notation. Round solutions to two decimal places, if necessary. • When n = 56, the margin of error for a 90% confidence interval is given by When n = 56, a 90% confidence interval is given by • When n 258, the margin of error for a 90% confidence interval is given by When n = 258, a 90% confidence interval is given by • When n 575, the margin of error for a 90% confidence interval is given by When n = 575, a 90% confidence interval is given by If the sample size is increased, leaving all other characteristics constant, the margin of error of the confidence interval will Select an answerv If the sample size is increased, leaving all other characteristics constant, the width of the confidence interval will Select an answerv
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