Question 4 Background : Pooled or General - which R output? In each scenario, a

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Question 4 Background :

Pooled or General - which R output?

In each scenario, a decision has been made to use pooled or general t-test for comparing the two population means. For each scenario, decide which of the provided R outputs must have led to the decision of using pooled or unpooled t-test.

Question 4 Background Pooled or General - which R output? In each scenario, a decision has been made to use pooled or general t-test for comparing the two population means. For each scenario, decide which of the provided R outputs must have led to the decision of using pooled or unpooled t-test. Question 4 Subquestions Does the population mean number of miles driven annually by the population of drivers who report living in rural areas (total per year, avereged per driver) differ from the population mean number of miles driven annually by the population of all drivers who report living in urban aes? To address this question, a random sample of 41 drivers living in rural areas was selected, and another random sample of 61 drivers living in urban areas was selected. After analyzing the sample data, the decision has been made to perform the general (unpooled) t-test to compare the population means Which of the provided R outputs would have led to the decision to perform the general (unpooled) t-test? 1 point(s) leveneTest(area ~ miles, data-Miles, center-"mean"; Levene' s Test for Homogeneity of Variance (center "mean") Df F value PrOF) group 1 2.3366 0.1295 100 leveneTest (area ~ miles, data-Miles, center-"mean" Levene' s Test for Homogeneity of Variance (center"mean") Df F value PrOF) group 1 4.6355 0.03372 100

Explanation / Answer

If it reasonable to assume that two populations have the same standard deviation, then the pooled t procedure may be used instead of the general two-sample t procedure.

1) Option B. Unequal variances as levene test rejected null hypothesis, therefore use 2 sample t procedure

2) OptionA, stnadard deviations are similar and therefore can assume to have equal variances.

3) Option A. Width of the 2 box plots are similar and therefore can assume to have equal variance.

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