An automobile manufacturer decides to carry out a fuel efficiency test to determine if it can advertise that a newer model of one of its cars is more fuel efficient than the previous model. Six fuel efficiency test runs (in miles per gallon) on the previous model resulted in a mean and standard deviation of 29.5 and 1.41, respectively. Six fuel efficiency test runs (in miles per gallon) on the new model resulted in a mean and standard deviation of 31.5 and 1.25, respectively. It is assumed that the fuel efficiency of the two models are normally distributed with equal variances. Do the data provide evidence to show that the average fuel efficiency of the new model is higher than that of the previous model? Use α = 0.05 What is the approximate p-value of the test in ?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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An automobile manufacturer decides to carry out a fuel efficiency test to determine if it can advertise that a newer model of one of its cars is more fuel efficient than the previous model. Six fuel efficiency test runs (in miles per gallon) on the previous model resulted in a mean and standard deviation of 29.5 and 1.41, respectively. Six fuel efficiency test runs (in miles per gallon) on the new model resulted in a mean and standard deviation of 31.5 and 1.25, respectively. It is assumed that the fuel efficiency of the two models are normally distributed with equal variances.

Do the data provide evidence to show that the average fuel efficiency of the new model is higher than that of the previous model? Use α = 0.05

What is the approximate p-value of the test in ?

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