The U.S. Department of Transportation reported recently that all commuters in the New York City area average 120 minutes on the road travelling to and from work each workday. Assume that the standard deviation for the amount of time all commuters in the New York City area travel to and from work each workday equals 30 minutes. a) If a random sample of 36 commuters in the New York City area is selected calculate

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The U.S. Department of Transportation reported recently that all commuters in the New
York City area average 120 minutes on the road travelling to and from work each
workday. Assume that the standard deviation for the amount of time all commuters in
the New York City area travel to and from work each workday equals 30 minutes.
a) If a random sample of 36 commuters in the New York City area is selected, calculate
the associated standard error of the mean..
b) What is the probability that mean travel time for the commuters in the sample is
between 113.5 and 122.5 minutes?
Transcribed Image Text:The U.S. Department of Transportation reported recently that all commuters in the New York City area average 120 minutes on the road travelling to and from work each workday. Assume that the standard deviation for the amount of time all commuters in the New York City area travel to and from work each workday equals 30 minutes. a) If a random sample of 36 commuters in the New York City area is selected, calculate the associated standard error of the mean.. b) What is the probability that mean travel time for the commuters in the sample is between 113.5 and 122.5 minutes?
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