Statistics question
April 06, 2021
Essayheroes
Problems:
-
(2.5 points) An article in Industrial Quality Control (1956, pp. 5-8) describes an experiment to investigate the effect of the type of glass and the type of phosphor on the brightness of a television tube. The response variable is the current necessary (in microamps) to obtain a specified brightness level. The data are as follows:
|
Phosphor Type
|
Glass Type
|
1
|
2
|
3
|
|
280
|
300
|
290
|
1
|
290
|
310
|
285
|
|
285
|
295
|
290
|
|
230
|
260
|
220
|
2
|
235
|
240
|
225
|
|
240
|
235
|
230
|
-
Is there any indication that either factor influences brightness? Show your ANOVA table. Use α = 0.05.
-
Do the two factors interact? Use α = 0.05.
-
Analyze the residuals from this experiment. Show the residual plots.
-
(2.5 points) A study investigated the effects of cyclic loading and environmental conditions on fatigue crack growth at a constant 22 MPa stress for a particular material. The data from this experiment are shown below (the response is crack growth rate).
Frequency
|
Environment
|
Air
|
H2O
|
Salt H2O
|
10
|
2.29
|
2.06
|
1.90
|
2.47
|
2.05
|
1.93
|
2.48
|
2.23
|
1.75
|
2.12
|
2.03
|
2.06
|
|
|
|
|
1
|
2.65
|
3.20
|
3.10
|
2.68
|
3.18
|
3.24
|
DETAILED ASSIGNMENT
20210406174927hw_7
