Ledolter and Hogg (see References) report that a civil engineer wishes to compare the

Chapter 9, Problem 9.3-4

(choose chapter or problem)

Ledolter and Hogg (see References) report that a civil engineer wishes to compare the strengths of three different types of beams, one (A) made of steel and two (B and C) made of different and more expensive alloys. A certain deflection (in units of 0.001 inch) was measured for each beam when submitted to a given force; thus, a small deflection would indicate a beam of great strength. The order statistics for the three samples, of respective sizes n1 = 8, n2 = 6, and n3 = 6, are as follows: A: 79 82 83 84 85 86 86 87 B: 74 75 76 77 78 82 C: 77 78 79 79 79 82 (a) Use these data, = 0.05, and the F test to test the equality of the three means. (b) For each set of data, construct box-and-whisker diagrams on the same figure and give an interpretation of your diagrams.