Free

50.1K

Verified Solution

Link Copied!

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

	Analyzer
Computerized	Electronic
Car	Compact	50	42
Intermediate	57	45
Full-sized	61	45

Use α = 0.05 to test for any significantdifferences.

State the null and alternative hypotheses.

H₀: μ_Compact ≠μ_Intermediate ≠μ_Full-sized
H_a: μ_Compact =μ_Intermediate =μ_Full-sizedH₀:μ_Computerized ≠μ_Electronic
H_a: μ_Computerized =μ_Electronic    H₀:μ_Compact = μ_Intermediate =μ_Full-sized
H_a: μ_Compact ≠μ_Intermediate ≠μ_Full-sizedH₀:μ_Computerized =μ_Electronic
H_a: μ_Computerized ≠μ_ElectronicH₀:μ_Computerized = μ_Electronic= μ_Compact = μ_Intermediate= μ_Full-sized
H_a: Not all the population means are equal.

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

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

p-value =

State your conclusion.

Do not reject H₀. There is sufficientevidence to conclude that the mean tune-up times are not the samefor both analyzers.Do not reject H₀. There isnot sufficient evidence to conclude that the mean tune-up times arenot the same for both analyzers.    RejectH₀. There is sufficient evidence to concludethat the mean tune-up times are not the same for bothanalyzers.Reject H₀. There is not sufficientevidence to conclude that the mean tune-up times are not the samefor both analyzers.