To study the effect of temperature on yield in a chemical process, five batches were produced...

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To study the effect of temperature on yield in a chemicalprocess, five batches were produced at each of three temperaturelevels. The results follow.
Temperature
50Â°C 60Â°C 70Â°C
31 35 28
21 36 33
33 39 33
36 28 35
29 32 36
a. Construct an analysis of variance table (to2 decimals but p-value to 4 decimals, if necessary).
Source ofVariation Sum ofSquares Degrees ofFreedom Mean Square F p-value
Treatments
Error
Total
b. Use aÂ Â level of significance totest whether the temperature level has an effect on the mean yieldof 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 arenot all equalDo not reject the assumption that the mean yields forthe three temperatures are equalItem 13

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4.1 Ratings (644 Votes)

aAnswerSource of VariationSum of SquaresDegrees of FreedomMean SquareF PvalueTreatments43332216711003637Error236121967Total2793314ExplanationThe one way ANOVA analysis is performed in excel by followingthese stepsStep 1 See Answer

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Temperature
	50Â°C	60Â°C	70Â°C
	31	35	28
	21	36	33
	33	39	33
	36	28	35
	29	32	36

Source ofVariation	Sum ofSquares	Degrees ofFreedom	Mean Square	F	p-value
Treatments
Error
Total