Question

A local greenhouse sells coffee-tree saplings. They price their saplings based on the height of the plant. They have two workers, Susan and Karen, who measure the saplings for pricing. The greenhouse manager wants to determine if there is a significant difference in the measurements made by these two individuals. She has them measure the same set of 15 saplings. Assume that the differences are calculated as Susan – Karen.

The resulting measurements (in cm) have been saved in StatCrunch. Use the data to compute the test statistic for the difference between Susan and Karen. For help using StatCrunch for a Paired Difference T-Test click here. (You may want to right-click that link and open it in a new window so you don't lose your answers on this quiz!)

Give your answer to four decimal places.

Susan   Karen difference
51.2381   51.5426   -0.3045
49.6311   49.292   0.3391
47.4822   46.9531   0.5291
50.3223   51.2982   -0.9759
46.3025   45.7606   0.5419
50.3047   50.3377   -0.033
50.4013   51.4663   -1.065
49.6507   50.0329   -0.3822
51.0187   50.985   0.0337
51.1941   51.7125   -0.5184
47.1907   47.6407   -0.45
49.7466   49.3111   0.4355
46.5283   47.3043   -0.776
47.2727   48.1091   -0.8364
51.5522   52.2639   -0.7117

Answer 1

Let us denote the difference

d = Susan's measurement - Karen's measurement

Conclusion : There is not sufficient evidence to support the claim that there is a significant difference in the measurements made by these two individuals.