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 | 31 | 28 | ||
27 | 32 | 33 | ||
39 | 35 | 33 | ||
42 | 24 | 35 | ||
35 | 28 | 36 |
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).
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
a)
Anova: Single Factor | |||||
SUMMARY | |||||
Groups | Count | Sum | Average | Variance | |
50°C | 5 | 180 | 36 | 32 | |
60°C | 5 | 150 | 30 | 17.5 | |
70°C | 5 | 165 | 33 | 9.5 | |
ANOVA | |||||
Source of Variation | SS | df | MS | F | P-value |
Treatment | 90 | 2 | 45 | 2.29 | 0.1439 |
Error | 236 | 12 | 19.67 | ||
Total | 326 | 14 |
b) test stats = 2.29
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P-value = greater than .10
====================
All the three means are equal , Do not reject the Ho
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 32 22 24 33 27 36 36 27 39 25 29 32 29 30 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 at each of three temperature levels. The results follow. Temperature 50°C 60°C 70°C 35 32 27 25 33 32 37 36 32 40 25 34 33 29 35 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 30 Error Total b....
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 33 60°C 30 70°C 22 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 Treatments 10 Error 236 12 Mean Square 5 19.67 F. 0.25 p-value 0.78 Total 246 14 b. Use a .05 level...
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.
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).
Temperature 50°C 60°C 70 C 31 23 25 28 21 26 33 29 28 36 18 30 29 22 31 a. Construct an analysis of...
To study the effect of temperature on yield in a chemical process, five batches were produced at each of three temperature levels. 50°C 60°C 70°C 38 34 26 28 35 31 40 38 31 43 27 33 36 31 34 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 at each of three temperature levels. The results follow. Temperature 50°C 60°C 70°C 31 30 24 21 31 29 33 34 29 36 23 31 29 27 32 onstruct 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 2 Error 12 Total 14 Use...
13 Assignment 0 X 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 O Temperature 50°c 60°C 70°C looooooo 25 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...
Four different paints are advertised as having the same drying time. To check the manufacturer's claims, five samples were tested for each of the paints. The time in minutes until the paint was dry enough for a second coat to be applied was recorded. The following data were obtained. Click on the datafile logo to reference the data. At the = .05 level of significance, test to see whether the mean drying time is the same for each type of paint....
An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and unloading riders more efficiently. Two alternative loading/unloading methods have been proposed. To account for potential differences due to the type of ride and the possible interaction between the method of loading and unloading and the type of ride, a factorial experiment was designed. Use the following data to test for any significant effect due to the loading and unloading method, the type of ride,...
{Exercise 13.07}
Three different methods for assembling a product were proposed
by an industrial engineer. To investigate the number of units
assembled correctly with each method, 30 employees were randomly
selected and randomly assigned to the three proposed methods in
such a way that each method was used by 10 workers. The number of
units assembled correctly was recorded, and the analysis of
variance procedure was applied to the resulting data set. The
following results were obtained: SST = 10,800;...