speed of vehicles on the Florida Turnpike. The mean speed, in miles per hour, of a random sample of vehicles was found to be 85 miles per hour. The standard deviation of the speeds of all vehicles on the Florida Turnpike is known to be 13 miles per hour. Find three different confidence intervals one with sample size 97, one with sample size 254, and one with sample size 541. Assume that the mean of each sample is 85 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 = 97, the margin of error for a 97% confidence interval is given by When n = 97, a 97% confidence interval is given by • When N = 254, the margin of error for a 97% confidence interval is given by When n = 254, a 97% confidence interval is given by • When n = 541, the margin of error for a 97% confidence interval is given by When n = 541, a 97% 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 answer v If the sample size is increased, leaving all other characteristics constant, the width of the confidence interval will Select an answer v Question Help: Video

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
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The Florida Department of Transportation (FDOT) would like to estimate the average speed of vehicles on
the Florida Turnpike. The mean speed, in miles per hour, of a random sample of vehicles was found to be 85
miles per hour. The standard deviation of the speeds of all vehicles on the Florida Turnpike is known to be
13 miles per hour.
Find three different confidence intervals one with sample size 97, one with sample size 254, and one with
sample size 541. Assume that the mean of each sample is 85 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 =
97, the margin of error for a 97% confidence interval is given by
When n
=97, a 97% confidence interval is given by
• When n =
254, the margin of error for a 97% confidence interval is given by
When n =
254, a 97% confidence interval is given by
• When n =
541, the margin of error for a 97% confidence interval is given by
When n =
541, a 97% 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 answer v
If the sample size is increased, leaving all other characteristics constant, the width of the confidence
interval will |Select an answer v
Question Help: Video
Transcribed Image Text:The Florida Department of Transportation (FDOT) would like to estimate the average speed of vehicles on the Florida Turnpike. The mean speed, in miles per hour, of a random sample of vehicles was found to be 85 miles per hour. The standard deviation of the speeds of all vehicles on the Florida Turnpike is known to be 13 miles per hour. Find three different confidence intervals one with sample size 97, one with sample size 254, and one with sample size 541. Assume that the mean of each sample is 85 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 = 97, the margin of error for a 97% confidence interval is given by When n =97, a 97% confidence interval is given by • When n = 254, the margin of error for a 97% confidence interval is given by When n = 254, a 97% confidence interval is given by • When n = 541, the margin of error for a 97% confidence interval is given by When n = 541, a 97% 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 answer v If the sample size is increased, leaving all other characteristics constant, the width of the confidence interval will |Select an answer v Question Help: Video
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