Question

Researchers are studying two different designs of computer keyboards, J and K, to investigate the effectiveness of the design on the speed of data entry. The researchers believe there is a tendency for people entering data with keyboard J to have faster entry times compared with people entering data with keyboard K. Using the same set of data for entry, the researchers randomly assigned 5 people to keyboard J and 6 people to keyboard K and recorded the number of seconds each person took to enter the data.

The following dotplots show the observed entry times for the two keyboards.

Keyboard J - 160 180 280 300 200 220 240 260 Entry Time (seconds)

Keyboard K + 160 + 180 280 300 200 220 240 260 Entry Time (seconds)

Explain why it is not appropriate to conduct a two-sample t-test for the difference in population means.

Answer 1

It is not appropriate to conduct a two-sample t-test because there exists an outlier in both variables.

What is a  two-sample t-test?

The two-sample t-test is used to determine if two population means are equal.  The purpose of the test is to determine whether the difference between these two populations is statistically significant.

In this case, it is not appropriate to conduct a two-sample t-test because there exists an outlier in both variables. Therefore,  it might be more appropriate to compare population medians instead of population means.

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