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 49 42 Car Compact Intermediate Full-sized 54 44 59 46 Use a = .05 to test for any significant differences. Source Sum of Squares Degrees Mean Square F p-value (to 2 decimals) of Variation (to whole number) of Freedom (to 1 decimal) (to 4 decimals) Treatments Blocks Error Total The p-value is - Select your answer - V What is your conclusion? - Select your answer - that the mean tune-up times are not the same for both analyzers.

Answer 1

Warnings Post hoc tests are not performed for Treatment because there are fewer than three groups Between-Subjects Factors Value Label N Block 1.00 2. 2.00 2 Compact Intermediate Full-sized Computerized Electronic 2 3.00 1.00 2.00 Treatment 3 3 Output Log Univariate Analysis of - Title Notes Active Dataset RO Warnings 3 Between-Subjeds 29 Tests of Between- Post Hoc Tests - Title - Block Title - Multiple Homoge Title - Data Log Oneway Title Notes RO Warnings ANOVA Log Univariate Analysis of Title EL Notes KO Warnings Li Between-Subjects 10 Tests of Between. Post Hoc Tests Title - Block Title Multiple - Homoge Title Sig .064 Tests of Between-Subjects Effects Dependent Variable: Data Type Ill Sum Source of Squares df Mean Square F Corrected Model 199.000 3 66.333 14.741 Intercept 14406.000 1 14406.000 3201333 Block 49.000 2 24.500 5.444 Treatment 150.000 150.000 33.333 Error 9.000 2 4.500 Total 14614.000 6 Corrected Total 208.000 5 a. R Squared = 957 (Adjusted R Squared = .892) 000 155 1 029 Foto

A Dataset Post Hoc Tests Ben Subjects Tests of Between Post Hoc Tests Block Multiple Comparisons Dependent Variable: Data Homage Mean Derence - J) Sig 401 -350 Los 401 e Notes -700 3.50 -350 7.00 350 401 ANOVA Block Block - HD Compact Intermediate Full- Intermediate Compact Full-sized Fusce Compact Intermediate Sche Compact Intermediate Pulsed Intermediate Compact Fuled Fused Compact Intermediate Based on observed means The error term is Mean SquareErros 4500 Std. Error 2.121 2.121 2.121 2.121 2.121 2.121 2.121 2.121 2.121 2.121 2.121 2.121 95 Confidence interval Lower Bound Upper Bound -16.00 900 -19.50 5.50 -9.00 1600 - 1600 9.00 -5.50 19 50 -9.00 16.00 -16.58 9.58 -2008 6.08 -95 1658 -16 58 958 -608 2008 -958 16.58 401 -3.50 -7.00 3.50 3.50 424 155 424 e Notes 424 Ben Subjects Tests of Between Post Hoc Tests Toe 7.00 3.50 155 424

Here, A p-value less than 0.05 (typically ≤ 0.05) is statistically significant. ... A p-value higher than 0.05 (> 0.05) is not statistically significant and indicates strong evidence for the null hypothesis. This means we retain the null hypothesis and reject the alternative hypothesis.

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