14. Calcium, again Refer to Exercise 13 (Section 11.2), where the calcium content of a powdered mineral substance was analyzed using three different methods. The comparisons option in MINITAB provided the printout that follows.

Use Tukey’s method to compare the three population means. How would you summarize your results?

Tukey Simultaneous Test for Differences of Means Difference Difference SE of of Levels of Means Difference 95% CI Adjusted T-Value P-Value 2-1 -0.0840 0.0224 (-0.1438, -0.0242) -3.75 0.007 3-1 3-2 0.0420 0.1260 0.0224 (-0.0178, 0.1018) 0.0224 (0.0662, 0.1858) 1.87 0.189 5.62 0.000 Individual confidence level = 97.94% Tukey Simultaneous 95% Cls Differences of Means for Calcium 2-1 3-1 3-2 + -0.15 -0.10-0.05 0 0.05 0.10 0.15 0.20 If an interval does not contain zero, the corresponding means are significantly different.