Problem 2: The fuel economy (in km/L) of two types of car engines were measured by testing 25 trials for each. The sample mean and standard deviation for engine 1 was x₁ =14.5 and ₁ = 0.6, and for engine 2, x₂ =15.5 and $₂ 1.2. = a) What appropriate hypotheses should be used to test whether engine 2 provides higher fuel economy than engine 1? b) Is there evidence to support the claim that engine 2 has a higher fuel economy than engine 1? Use a = 0.05, and assume that both populations are normally distributed but the variances are not equal.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
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Problem 2: The fuel economy (in km/L) of two types of car
engines were measured by testing 25 trials for each. The
sample mean and standard deviation for engine 1 was
x₁14.5 and $₁ 0.6, and for engine 2, x₂ =15.5 and $₂
=
$2
1.2.
=
a) What appropriate hypotheses should be used to test
whether engine 2 provides higher fuel economy than
engine 1?
b) Is there evidence to support the claim that engine 2 has
a higher fuel economy than engine 1? Use a =
0.05,
and assume that both populations are normally
distributed but the variances are not equal.
Transcribed Image Text:Problem 2: The fuel economy (in km/L) of two types of car engines were measured by testing 25 trials for each. The sample mean and standard deviation for engine 1 was x₁14.5 and $₁ 0.6, and for engine 2, x₂ =15.5 and $₂ = $2 1.2. = a) What appropriate hypotheses should be used to test whether engine 2 provides higher fuel economy than engine 1? b) Is there evidence to support the claim that engine 2 has a higher fuel economy than engine 1? Use a = 0.05, and assume that both populations are normally distributed but the variances are not equal.
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