A certain chemical reaction was run three times at each of three temperatures. T

Question

A certain chemical reaction was run three times at each of three temperatures. The yields, expressed as a percent of a theoretical maximum, were as follows:

Use this data to answer the next set of questions.

Question 7

Find X13

Question 8

What is the SSTr? (round to two decimal places)

Question 9

What is the SSE? (round to two decimal places)

Question 10

What is the F statistic? (round to two decimal places)

What is the numerator degrees of freedom?

Question 12

What is the p-value?

Question 13

There is insufficient evidence to suggest that mean yield differs with temperature.

Temperature Yields 70 degrees 81.1 82.6 77.4 80 degrees 93.3 88.9 86.0 90 degrees 87.8 89.2 88.5

Explanation / Answer

applying one way ANOVA on above data:

SSTR = Between groups SS =148.56

SSE =with in group SS =42.33

F stat =10.53

numerator degrees of freedom =2

p-value =0.0109

There is insufficient evidence to suggest that mean yield differs with temperature.--depends on level of significance.

if level of significance is less then 0.0109 then true else false.

Groups Count Sum Average Variance 70 degrees 3 241.1 80.36667 7.163333 80 degrees 3 268.2 89.4 13.51 90 degrees 3 265.5 88.5 0.49 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 148.5622 2 74.28111 10.52969 0.010902 5.143253 Within Groups 42.32667 6 7.054444 Total 190.8889 8

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