Solution Found!
(In some of the exercises that follow, we must
Chapter 9, Problem 4E(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 \(n_{1}=8, n_{2}=6\), and \(n_{3}=6\), are as follows:
(a) Use these data, \(\alpha=0.05\), 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.
Equation Transcription:
Text Transcription:
n_1=8, n_2=6
n_3=6
F
alpha=0.05
Questions & Answers
QUESTION:
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 \(n_{1}=8, n_{2}=6\), and \(n_{3}=6\), are as follows:
(a) Use these data, \(\alpha=0.05\), 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.
Equation Transcription:
Text Transcription:
n_1=8, n_2=6
n_3=6
F
alpha=0.05
ANSWER:
Step 1 of 4
a.
The null and alternative hypotheses are:
