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? Describe the process you use to arrive at a decision for the mean pointing error.
14, 122, 128, 109, 12, 91, 8, 78, 31, 36, 27, 68, 20, 69, 18
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. Show all of your work, include and interpretation of the results.
Obtain the following plots of the data using technology. Be sure that numerical data is included on each graph, and give a brief (1-2 sentences) description of each. Your description should include features of the graph that characterize the data.
Histogram, normal probability plot, box plot, stem-and-leaf diagram
Was the use of the t-test reasonable? Justify your answer.