Question
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 | ||
| 32 | 30 | 25 | ||
| 22 | 31 | 30 | ||
| 34 | 34 | 30 | ||
| 37 | 23 | 32 | ||
| 30 | 27 | 33 | ||
a. Construct an analysis of variance table (to 2 decimals but p-value to 4 decimals, if necessary).
| Source of Variation | Sum of Squares | Degrees of Freedom | Mean Square | F | p-value |
| Treatments | |||||
| Error | |||||
| Total |
b. Use a.05 level of significance to test whether the temperature level has an effect on the mean yield of the process.
Calculate the value of the test statistic (to 2 decimals).
The -value is - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 12
What is your conclusion?
- Select your answer -Conclude that the mean yields for the three temperatures are not all equalDo not reject the assumption that the mean yields for the three temperatures are equalItem 13
Solutions
orchestra answered 2 years agoRelated Solutions
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
37
35
30
27
36
35
39
39
35
42
28
37
35
32
38
A. 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...
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
32
34
29
22
35
34
34
38
34
37
27
36
30
31
37
a. Construct an analysis of variance table (to
2 decimals but p-value to 4 decimals, if necessary).
Source of Variation
Sum of Squares
Degrees of Freedom
Mean Square
F
p-value
Treatments
Error
Total
b. Use a level...
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
33
23
21
34
28
33
37
28
36
26
30
29
30
31
a. Construct an analysis of variance table (to 2 decimals but
p-value to 4 decimals, if necessary).
b. Use a level of significance to test whether the temperature
level has an effect on the mean yield...
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
34
28
27
24
29
32
36
32
32
39
21
34
32
25
35
Construct an analysis of
variance table (to 2 decimals, if necessary). Round
p-value to four decimal places.
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
30
26
24
20
27
29
32
30
29
35
19
31
28
23
32
a. Construct an analysis of variance table (to
2 decimals but p-value to 4 decimals, if necessary).
Source of
Variation
Sum of
Squares
Degrees of
Freedom
Mean Square
F
p-value
Treatments
Error
Total
b. Use a...
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 the three
temperature level. The results follow.
50 degree C
60 degree C
70 degree C
32
31
25
22
32
30
34
35
30
37
24
32
30
28
33
A. Construct an analysis of variance table
Source Variation
Sum Squares
Degree Freedom
Mean Square
F
P-Value
Treatments
Error
Total
B. use .05 level of significance to test whether the...
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
29
25
21
30
30
33
33
30
36
22
32
29
26
33
a. Construct an analysis of variance table (to
2 decimals but p-value to 4 decimals, if necessary).
Source of
Variation
Sum of
Squares
Degrees of
Freedom
Mean Square
F
p-value
Treatments
Error
Total
b. Use a level...
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...
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
33
29
27
23
30
32
35
33
32
38
22
34
31
26
35
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...
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
32
20
21
33
25
33
36
25
36
25
27
29
29
28
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...
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