Question

Suppose we have collected times, in minutes, that it takes volunteers to complete a set of pencil and paper mazes. Volunteers are randomly assigned to one of two groups. Group 1 watch a 5 minute video explaining good strategies for completing the mazes. Group 2 watch a 5 minute video of other people successfully completing the mazes, but with no explanation given.

Researchers are interested in testing against the null hypothesis that there is no difference in population mean times that it takes people to complete mazes after watching either type of video.

There are the summary statistics after collecting data. Note that the sample sizes differ, because some subjects did not follow instructions correctly and so they were not included in the analysis.
x₁ = 10.22, x₂ = 9.98
s₁ = 8.78, s₂ = 7.65
n₁ = 46, n₂ = 56

c. Calculate the standard error of x₁ - x₂: _________

d. Calculate the approximate 95% CI for μ₁ - μ₂:_______ to _______

e. The result of the hypothesis test is:
We _____(do/do not have) evidence that there is a difference in population means, because the null value is _____ (inside/outside) the 95% CI.

f. What kind of error is it *possible* that we have made?
Since we _____ (rejected .failed to reject )the null hypothesis, it is possible that we made a _____(Type I /Type II )error.

Answer 1