A region's department of transportation is deciding whether to increase overnight traffic patrols for a stretch of expressway within the region. The residents who live near the expressway have complained that drivers travel faster at night than during the day. Several years ago, the department tested the claim that the population mean speed of drivers who travel on that stretch of expressway at night is greater than the population mean speed of drivers who travel during the day. Although the results were inconclusive, the department has access to the population standard deviations. The department assumes that the population standard deviation is 4.11 mph for drivers traveling at night and 3.92 mph for drivers traveling during the day. The department decides to conduct the test again by installing an automated speed gun on the stretch of expressway that randomly selects vehicles and records their speed. One sample contains the speed, in miles per hour, of the cars driving during the day, and the other sample contains the speed of the cars, in miles per hour, driving at night. The results of the samples are shown in the table. Assuming the conditions needed for the hypothesis test have been met, what is the z test statistic for this hypothesis test, rounded to two decimal places? Night Day 66.28 x2 = 65.71 307 n2 324
A region's department of transportation is deciding whether to increase overnight traffic patrols for a stretch of expressway within the region. The residents who live near the expressway have complained that drivers travel faster at night than during the day. Several years ago, the department tested the claim that the population mean speed of drivers who travel on that stretch of expressway at night is greater than the population mean speed of drivers who travel during the day. Although the results were inconclusive, the department has access to the population standard deviations. The department assumes that the population standard deviation is 4.11 mph for drivers traveling at night and 3.92 mph for drivers traveling during the day. The department decides to conduct the test again by installing an automated speed gun on the stretch of expressway that randomly selects vehicles and records their speed. One sample contains the speed, in miles per hour, of the cars driving during the day, and the other sample contains the speed of the cars, in miles per hour, driving at night. The results of the samples are shown in the table. Assuming the conditions needed for the hypothesis test have been met, what is the z test statistic for this hypothesis test, rounded to two decimal places? Night Day 66.28 x2 = 65.71 307 n2 324
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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A region's department of transportation is deciding whether to increase overnight traffic patrols for a stretch
of expressway within the region. The residents who live near the expressway have complained that drivers
travel faster at night than during the day. Several years ago, the department tested the claim that the
population mean speed of drivers who travel on that stretch of expressway at night is greater than the
population mean speed of drivers who travel during the day. Although the results were inconclusive, the
department has access to the population standard deviations. The department assumes that the population
standard deviation is 4.11 mph for drivers traveling at night and 3.92 mph for drivers traveling during the
day. The department decides to conduct the test again by installing an automated speed gun on the stretch
of expressway that randomly selects vehicles and records their speed. One sample contains the speed, in
miles per hour, of the cars driving during the day, and the other sample contains the speed of the cars, in
miles per hour, driving at night. The results of the samples are shown in the table. Assuming the conditions
needed for the hypothesis test have been met, what is the z test statistic for this hypothesis test, rounded to
two decimal places?
Night
Day
xi = 66.28
x2 = 65.71
n1
307
n2 :
324
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