Question

Again, there is research on the relationship between gender and sense of direction. Recall that, in their study, the spatial orientation skills of 30 male and 30 female students were challenges in a wooded park near the Boston College campus in Newton, Massachusetts. The participants were asked to rate their own sense of direction as either good or poor.

In the park, students were instructed to point to predesignated landmarks and also to the direction of south. For the female students who had rated their sense of direction to be good, the table above provides the pointing errors (in degrees) when they attempted to point south.

1. If, on average, women who consider themselves to have a good sense of direction do not better than they would by just randomly guessing at the direction of south, what would their mean pointing error be?
2. At the 1% significance level, do the data provide sufficient evidence to conclude that women who consider themselves to have a good sense of direction really do better, on average, than they would by just randomly guessing at the direction of south? Use a one-mean t-test.
3. Obtain a normal probability plot, boxplot, or stem-and-leaf diagram of the data. Based on this plot, is use of the t-test reasonable? Explain your answer.

Answer 1