In: Statistics and Probability
To study the effect of temperature on yield in a chemical
process, five batches were produced...
To study the effect of temperature on yield in a chemical
process, five batches were produced at each of three temperature
levels. The results follow.
Temperature
|
|
50°C |
60°C |
70°C |
|
|
31 |
35 |
28 |
|
|
21 |
36 |
33 |
|
|
33 |
39 |
33 |
|
|
36 |
28 |
35 |
|
|
29 |
32 |
36 |
|
- Construct an analysis of
variance table (to 2 decimals, if necessary). Round
p-value to four decimal places.
Source of
Variation |
Sum of
Squares |
Degrees of
Freedom |
Mean Square |
F |
p-value |
Treatments |
|
|
|
|
|
Error |
|
|
|
|
|
Total |
|
|
|
|
|
- Use a .05 level of
significance to test whether the temperature level has an effect on
the mean yield of the process.
The p-value is Select: less than .01, between .01 and
.025, between .025 and .05, between .05 and .10, greater than
.10
What is your conclusion?
Select: Conclude that the mean yields for the three temperatures
are not all equal, Conclude that the mean yields for the three
temperatures are all equal