a. If, on average, women who consider themselves to have a good sense of direction do no better than they would by just randomly guessing at the direction of south, what would their mean pointing error be?

b. 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.

c. Obtain a normal probability plot, boxplot, and stem- and-leaf diagram of the data. Based on these plots, is use of the t-test reasonable? Explain your answer.

d. Use the technology of your choice to perform the data analyses in parts (b) and (c).

Table with information

Female StudentPoint Error (in )

14

122

128

109

12

91

8

78

31

36

27

68

20

69

18