{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Homework6_S11

# Homework6_S11 - STAT 496 Spring 2011 Homework Assignment#6...

This preview shows pages 1–2. Sign up to view the full content.

STAT 496, Spring 2011 Homework Assignment #6, Due by Thursday, March 24 1. An engineer is interested in the effects of cutting speed (A), tool geometry (B), and cutting angle (C) on the life (in hours) of a machine tool. Because the hardness of the raw material being tooled may vary, heats of raw material are used as blocks. The eight treatment combinations are run in a random order within each block (heat). The levels of each of the 3 factors are given below along with the data. Low (–1) High (+1) A: Cutting Speed 50 rpm 100 rpm B: Tool Geometry Type 1 Type 2 C: Cutting Angle 5 o 10 o XA XB XC Heat I Heat II Heat III –1 –1 –1 22 31 25 +1 –1 –1 32 43 30 –1 +1 –1 35 50 35 +1 +1 –1 45 55 47 –1 –1 +1 43 45 38 +1 –1 +1 36 38 40 –1 +1 +1 50 61 54 +1 +1 +1 47 43 39 a) Compute means for the low and high levels of each of the three factors. Display these graphically and comment on the apparent effects of each of the factors. b) Construct an interaction plot for factors A and C using the data from Type 1 tool geometry. Construct a second interaction lot for factors A and C using the data from the Type 2 tool geometry. Comment on the plots. What do they indicate about the possible interaction between factors A and C? What do they indicate about the 3-way interaction?

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}