A statistical program is recommended. An automobile dealer conducted a test to determine whether the time 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 the experiment. The data (time in minutes) obtained follow. Anal Computerized Compact 52 Car Intermediate Full Size 57 65

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Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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A statistical program is recommended.
An automobile dealer conducted test to determine whether the time 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 (time in minutes) obtained follow.
x₂
Analyzer
0
Computerized
Electronic
Define all variables.
Let x₁ = 0 if a computerized analyzer is used, or let x₁ =
X3
O Ho: B₁ * 0
H₂: B₁ = 0
0
Compact
1
52
Car
41
Compact
Intermediate
Full Size
Intermediate
O Ho: One or more of the parameters is not equal to zero.
H₁: B₂ =B3 = 0
Car
57
Find the p-value. (Round your answer to three decimal places.)
p-value =
43
Use α = 0.05 to test for any significant differences between the two analyzers.
State the null and alternative hypotheses.
O Ho: B₁ = 0
H₂: B₁ = 0
Full Size
o Ho: Ba = By = 0
H₂: One or more of the parameters is not equal to zero.
Find the value of the test statistic. (Round your answer to two decimal places.)
65
if an electronic analyzer is used.
45
State your conclusion.
O Reject Ho. We cannot conclude that the time to do a tune-up is not the same for the two analyzers.
O Do not reject Ho. We conclude that the time to do a tune-up is not the same for the two analyzers.
O Reject Ho. We conclude that the time to do a tune-up is not the same for the two analyzers.
O Do not reject Ho. We cannot conclude that the time to do a tune-up is not the same for the two analyzers.
Activate Windows
Go to Settings to activate Windows.
Transcribed Image Text:A statistical program is recommended. An automobile dealer conducted test to determine whether the time 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 (time in minutes) obtained follow. x₂ Analyzer 0 Computerized Electronic Define all variables. Let x₁ = 0 if a computerized analyzer is used, or let x₁ = X3 O Ho: B₁ * 0 H₂: B₁ = 0 0 Compact 1 52 Car 41 Compact Intermediate Full Size Intermediate O Ho: One or more of the parameters is not equal to zero. H₁: B₂ =B3 = 0 Car 57 Find the p-value. (Round your answer to three decimal places.) p-value = 43 Use α = 0.05 to test for any significant differences between the two analyzers. State the null and alternative hypotheses. O Ho: B₁ = 0 H₂: B₁ = 0 Full Size o Ho: Ba = By = 0 H₂: One or more of the parameters is not equal to zero. Find the value of the test statistic. (Round your answer to two decimal places.) 65 if an electronic analyzer is used. 45 State your conclusion. O Reject Ho. We cannot conclude that the time to do a tune-up is not the same for the two analyzers. O Do not reject Ho. We conclude that the time to do a tune-up is not the same for the two analyzers. O Reject Ho. We conclude that the time to do a tune-up is not the same for the two analyzers. O Do not reject Ho. We cannot conclude that the time to do a tune-up is not the same for the two analyzers. Activate Windows Go to Settings to activate Windows.
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