An automobile dealer conducted a test to determine if the time in minutes needed to complete a minor engine tune-up depends on whether a computerized engine analyzer or an electronic analyzer is used. Because tune-up time varies among compact, intermediate, and full-sized cars, the three types of cars were used as blocks in the experiment. The data obtained follow. Analyzer Computerized Electronic Car Compact 51 42 Intermediate 55 43 Full-sized 62 47 Use ? = 0.05 to test for any significant differences. State the null and alternative hypotheses. H0: ?Computerized ≠ ?Electronic Ha: ?Computerized = ?ElectronicH0: ?Computerized = ?Electronic = ?Compact = ?Intermediate = ?Full-sized Ha: Not all the population means are equal. H0: ?Computerized = ?Electronic Ha: ?Computerized ≠ ?ElectronicH0: ?Compact ≠ ?Intermediate ≠ ?Full-sized Ha: ?Compact = ?Intermediate = ?Full-sizedH0: ?Compact = ?Intermediate = ?Full-sized Ha: ?Compact ≠ ?Intermediate ≠ ?Full-sized Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. Reject H0. There is sufficient evidence to conclude that the mean tune-up times are not the same for both analyzers.Reject H0. There is not sufficient evidence to conclude that the mean tune-up times are not the same for both analyzers. Do not reject H0. There is not sufficient evidence to conclude that the mean tune-up times are not the same for both analyzers.Do not reject H0. There is sufficient evidence to conclude that the mean tune-up times are not the same for both analyzers.

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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An automobile dealer conducted a test to determine if the time in minutes needed to complete a minor engine tune-up depends on whether a computerized engine analyzer or an electronic analyzer is used. Because tune-up time varies among compact, intermediate, and full-sized cars, the three types of cars were used as blocks in the experiment. The data obtained follow.

	Analyzer
Computerized	Electronic
Car	Compact	51	42
Intermediate	55	43
Full-sized	62	47

Use ? = 0.05 to test for any significant differences.

State the null and alternative hypotheses.

H₀: ?_Computerized ≠ ?_Electronic
H_a: ?_Computerized = ?_ElectronicH₀: ?_Computerized = ?_Electronic = ?_Compact = ?_Intermediate = ?_Full-sized
H_a: Not all the population means are equal. H₀: ?_Computerized = ?_Electronic
H_a: ?_Computerized ≠ ?_ElectronicH₀: ?_Compact ≠ ?_Intermediate ≠ ?_Full-sized
H_a: ?_Compact = ?_Intermediate = ?_Full-sizedH₀: ?_Compact = ?_Intermediate = ?_Full-sized
H_a: ?_Compact ≠ ?_Intermediate ≠ ?_Full-sized

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to three decimal places.)

p-value =

State your conclusion.

Reject H₀. There is sufficient evidence to conclude that the mean tune-up times are not the same for both analyzers.Reject H₀. There is not sufficient evidence to conclude that the mean tune-up times are not the same for both analyzers. Do not reject H₀. There is not sufficient evidence to conclude that the mean tune-up times are not the same for both analyzers.Do not reject H₀. There is sufficient evidence to conclude that the mean tune-up times are not the same for both analyzers.

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