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 Compact 50 41 Car Intermediate 54 44 Full-sized 64 47 Use a- 0.05 to test for any significant differences. State the null and alternative hypotheses. O Me: FCompat" Hrtermediate" Frul-szed H "Compa * "anermediane *"Ful-sized O Hei HCompact* Hantermediate Frul-szed H HCompan"enermediane"FFul-szed Mei Hcomputerized" HEetronie HPComputerized Ferenic Hoi Fcomouterized " FElectronic * FCompact * "irnermediate" Frul-sized H: Not all the population means are equal. O Hoi FComputerized* FElectronic HHcomputerced""Elerenic 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. O Do not reject H. There is not sufficient evidence to condlude that the mean tune-up times are not the same for both analyzers. O Reject Ha. There is sufficient evidence to conclude that the mean tune-up times are not the same for both analyzers. O Do not reject He. There is sufficient evidence to conclude that the mean tune-up times are not the same for both analyzers.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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
Compact
50
41
Car
Intermediate
54
44
Full-sized
64
47
Use a = 0.05 to test for any significant differences.
State the null and alternative hypotheses.
O Ho: MCompact = "Intermediate = HFull-sized
H: "Compact * "Intermediate * "Full-sized
O Ho: "Compact * "Intermediate * HFull-sized
H: "Compact "Intermediate = "Full-sized
O Ho: Computerized = HElectronic
H: "Computerized * HElectronic
O Ho: "Computerized = HElectronic = "Compact = Intermediate = Full-sized
H: Not all the population means are equal.
O Ho: HComputerized * HElectronic
H: "Computerized = "Electronic
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.
O Do not reject H.. There is not sufficient evidence to conclude that the mean tune-up times are not the same for both analyzers.
O Reject H.. There is sufficient evidence to conclude that the mean tune-up times are not the same for both analyzers.
O Do not reject Ho. There is sufficient evidence to conclude that the mean tune-up times are not the same for both analyzers.
O Reject H,. There is not sufficient evidence to conclude that the mean tune-up times are not the same for both analyzers.
Transcribed Image Text: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 Compact 50 41 Car Intermediate 54 44 Full-sized 64 47 Use a = 0.05 to test for any significant differences. State the null and alternative hypotheses. O Ho: MCompact = "Intermediate = HFull-sized H: "Compact * "Intermediate * "Full-sized O Ho: "Compact * "Intermediate * HFull-sized H: "Compact "Intermediate = "Full-sized O Ho: Computerized = HElectronic H: "Computerized * HElectronic O Ho: "Computerized = HElectronic = "Compact = Intermediate = Full-sized H: Not all the population means are equal. O Ho: HComputerized * HElectronic H: "Computerized = "Electronic 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. O Do not reject H.. There is not sufficient evidence to conclude that the mean tune-up times are not the same for both analyzers. O Reject H.. There is sufficient evidence to conclude that the mean tune-up times are not the same for both analyzers. O Do not reject Ho. There is sufficient evidence to conclude that the mean tune-up times are not the same for both analyzers. O Reject H,. There is not sufficient evidence to conclude that the mean tune-up times are not the same for both analyzers.
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