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

ID: 2907309 • Letter: T

Question

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

Construct an analysis of variance table (to 2 decimals, if necessary). Round p-value to four decimal places.

Use a .05 level of significance to test whether the temperature level has an effect on the mean yield of the process.

The p-value is Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 11

What is your conclusion?
SelectConclude that the mean yields for the three temperatures are not all equalConclude that the mean yields for the three temperatures are all equalItem 12

Temperature

50°C 60°C 70°C 33 28 23 23 29 28 35 32 28 38 21 30 31 25 31

Explanation / Answer

From the statistical software output, the ANOVA table will be:

ANOVA table

The p -value is greater than 0.10

Conclusion: Conclude that the mean yields for the three temperatures are all equal 12

Source Sum of Squares Degrees of freedom Mean Square F p-value Columns 70 2 35 1.78 0.2104 Error 236 12 19.67 Total 306 14
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