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MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Some people believe that different octane gasoline result in different miles per gallon in a vehicle. The
following data is a sample of 11 people which were asked to drive their car only using 10 gallons of gas and
record their mileage for each 87 Octane and 92 Octane.
Miles with
87
Octane
Miles with
92 Octane
Person
1.
234
237
257
238
3
243
229
4
215
224
114
119
6
287
297
315
351
8
229
241
9
192
186
10
204
209
11
547
562
Do the data support that different octanes produce different miles per gallon at the a = 0.02 level of
significance? Note: A normal probability plot of difference in car mileage between Octane 87 and Octane
92 indicates the population could be normal and a boxplot indicated no outliers.
a. Express the null and alternative hypotheses in symbolic form for this claim. Assume 4 = 4i – P2,
where µi is the population mean mileage for Octane 87 and u2 is the mean mileage for Octane 92.
Ho: 4, Select an answer V
H1:µ, Select an answer V
b. What is the significance level?
c. What is the test statistic? Round to 3 decimal places.
? V
d. What is the p -value? Round to 5 decimal places.
e. Make a decision.
O Reject the null
O Do not reject the null
f. What is the conclusion?
O There is sufficient evidence to support the claim that different octanes produce different miles
per gallon.
O There is not sufficient evidence to support the claim that different octanes produce different
miles per gallon.
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