Answered: O The standard normal (2) distribution…

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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Question

O The standard normal (2) distribution should be used
The Student's t distribution should be used
Determine the test statistic for the hypothesis test. Round the solution to four decimal places.
Determine the p-value (range) for the hypothesis test.
Op-value < 0.0005
O 0.0005 p-value < 0.005
O 0.005
p-value < 0.01
O 0.01 < p-value < 0.025
O 0.025 < p-value < 0.05
O 0.05 < p-value < 0.10
Op-value > 0.10
Determine the appropriate conclusion for this hypothesis test.
O The sample data provide sufficient evidence to reject the alternative hypothesis that the average
range of this electric car is less than 240 miles and thus we conclude that the true range of this
electric car is likely 240 miles.
The sample data do not provide sufficient evidence to reject the alternative hypothesis that the
average range of this electric car is less than 240 miles and thus we conclude that the true range of
this electric car is likely less than 240 miles.
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75°F

Transcribed Image Text:Electric vehicles are often categorized by the range of miles that can be travelled on a single battery charge, since charging stations are not yet widespread in the United States. The latest model of a certain brand of electric car is reported to have an average range of 240 miles. An auto industry journalist would like to verify this claim, since he believes that the true range of the car may be less than 240 miles. The journalist selected and tested a random sample of 120 cars of this model and found that the average range of the sample was 229.8 miles with a standard deviation of 47.7 miles. Apply the p-value method to test the hypothesis that the average range of this electric car model is less than 240 miles, using a significance level of 5%. State the null and alternative hypothesis for this test. Ho: ? V H₁: ? V Determine if this test is left-tailed, right-tailed, or two-tailed. Otwo-tailed Oleft-tailed Oright-tailed Should the standard normal (2) distribution or Student's (t) distribution be used for this test? The standard normal (2) distribution should be used 75°F

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