You may need to use the appropriate technology to answer this question. 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 50 41 Intermediate 56 45 Full Sized 62 46 Use ? = 0.05 to test for any significant differences. State the null and alternative hypotheses. H0: ?Computerized = ?Electronic Ha: ?Computerized ≠ ?ElectronicH0: ?Computerized ≠ ?Electronic Ha: ?Computerized = ?Electronic H0: ?Computerized = ?Electronic = ?Compact = ?Intermediate = ?Full-sized Ha: Not all the population means are equal.H0: ?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. Do not reject H0. There is 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. Reject H0. There is not sufficient evidence to conclude that the mean tune-up times are not the same for both analyzers.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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You may need to use the appropriate technology to answer this question.

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	50	41
	Intermediate	56	45
	Full Sized	62	46

Use ? = 0.05 to test for any significant differences.

State the null and alternative hypotheses.

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

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

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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