Question

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 30 23
24 32 28
36 34 29
38 22 29
28 27 36

Construct an analysis of variance table. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.)

Source
of Variation
Sum
of Squares
Degrees
of Freedom
Mean
Square
F p-value
Treatments ? ? ? ? ?
Error ? ? ?
Total ? ?

Find the value of the test statistic. (Round your answer to two decimal places.)

________________.

Find the p-value. (Round your answer to four decimal places.)

p-value = __________.

Homework Answers

Answer #1

using excel>data>data analysis >one factor anova

we have

Anova: Single Factor
SUMMARY
Groups Count Sum Average Variance
50°C 5 160 32 34
60°C 5 145 29 22
70°C 5 145 29 21.5
ANOVA
Source of Variation SS df MS F P-value
treatment 30 2 15 0.58 0.5745
Error 310 12 25.83
Total 340 14

the value of the test statistic is 0.58

the p-value is 0.5745

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