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 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 temperature level has an effect on the mean yield of processes. Calculate the value of the test statistic
Solutions
Expert Solution
A.
ANOVA ( analysis of variance ) TABLE :
B.
Since it is concluded that the means are not equal,
we conclude that temperature level does have an effect on the mean yield of processes
(please UPVOTE)
orchestra answered 1 year 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
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...
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 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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