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 | ||
| 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 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).
Solutions
Expert Solution
a)
| Source of Variation | Sums of Squares SS |
Degrees of freedom DF |
Mean Squares MS |
F | p-value |
| treatments | SSB = 42 | k-1 = 4 | MSB = 10.5 | 0.5064 | 0.7325 |
| error | SSW = 207.3333 | n-k = 10 | MSW = 20.7333 | ||
| Total | SST = 249.3333 | n-1 = 14 |
b)
hence temperature level has no effect on the mean yield of the process.
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 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
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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