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To determine if there is gender and/or race discrimination in car buying, a rese

ID: 3357215 • Letter: T

Question

To determine if there is gender and/or race discrimination in car buying, a researcher put together a team of white males, black males, white females, and black females who were each asked to obtain an initial offer price from the dealer on a certain model car. The accompanying data are based on the results and represent the profit on the initial price offered by the dealer. Previous testing resulted in rejecting Ho PM M = M = wF = F and concluding that the mean profit for the four race gender groups differ. Use Tukey's test to determine which pai ise means differ using a family se error rate of = 0.05. Click the icon to view the data table Use Tukey's test to determine which pain ise means differ using a family wise error rate o = 0.05. Find the Tukey 95% simultaneous confidence intervals for all pair se comparisons. The interval for the pairwise comparison HM-AM ls The interval for the pairwise com pansion AVF-wM 1 The interval for the pairwise comparison BF-wM ls The interval for the pairwise comparison wF-M ls The interval for the pairwise comparision BF-HM 1 The interval for the pairwise comparison BF-AF Round to the nearest integer as needed.) Data Table White BlackW ite Black Males 1299 853 648 730 960560 792 425 661 1179 821 1039 877 751 MalesFemales Females 954 960 757 703 594 1250 1828 1612 1538 1905 2053 1941 2175 2325 1982 1789 855 Print Done

Explanation / Answer

One-way ANOVA: white males, black males, white females, black females

Method

Null hypothesis All means are equal
Alternative hypothesis At least one mean is different
Significance level = 0.05

Equal variances were assumed for the analysis.


Factor Information

Factor Levels Values
Factor 4 white males, black males, white females, black females


Analysis of Variance

Source DF Adj SS Adj MS F-Value P-Value
Factor 3 7543175 2514392 58.54 0.000
Error 23 987822 42949
Total 26 8530997


Model Summary

S R-sq R-sq(adj) R-sq(pred)
207.241 88.42% 86.91% 84.21%


Means

Factor N Mean StDev 95% CI
white males 8 871.4 219.2 ( 719.8, 1022.9)
black males 7 782.7 243.7 ( 620.7, 944.8)
white females 5 793.6 160.3 ( 601.9, 985.3)
black females 7 2024.3 179.0 (1862.2, 2186.3)

Pooled StDev = 207.241


Tukey Pairwise Comparisons

Grouping Information Using the Tukey Method and 95% Confidence

Factor N Mean Grouping
black females 7 2024.3 A
white males 8 871.4 B
white females 5 793.6 B
black males 7 782.7 B

Means that do not share a letter are significantly different.

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