Using R, at 5% significance level, assess if, on average, all undergraduate stud

Question

Using R, at 5% significance level, assess if, on average, all undergraduate students in art complete a 1000 piece jigsaw puzzle quicker than all undergraduate students in engineering Recall the 4 Steps for Testing Hypotheses: 1) State the hypotheses (the significance level has been selected to be 5%). 2) State and check the assumptions. This step is partially done: You can assume that the samples are random and independent, and the appropriate histograms and qq plots have been examined to conclude that it is reasonable to assume that the completion times for a 1000 piece jigsaw puzzle for the population of undergraduates in art is normally distributed as well as the completion times for a 1000 piece jigsaw puzzle for the population of undergraduates in engineering You still need to decide to do either a pooled or unpooled inference procedure.

Explanation / Answer

For deciding whether to use pooled or unpooled inference procedure, you need to first check for the equality of variances for the two samples. For this, you need to do a F-test for testing the equality of variances.

Method in R : var.test(x, y, ratio = 1, alternative = , conf.level = 0.95, ...)

If the variances are statistically equal, you can use pooled variance otherwise you have to use unpooled variance.

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