8. 3/4 points | Previous Answers DevoreStat9 10.E.041 My Notes Ask Your Teach Fo

Question

8. 3/4 points | Previous Answers DevoreStat9 10.E.041 My Notes Ask Your Teach Four laboratories (1-4) are randomly selected from a large population, and each is asked to make three determinations of the percentage of methyl alcohol in specimens of a compound taken from a single batch. Based on the accompanying data, are differences among the laboratories a source of variation in the percentage of methyl alcohol? 1: 85.08 85.24 84.87 2 84.98 84.26 84.86 3 84.41 84.71 85.06 4: 84.15 84.56 84.05 State and test the relevant hypotheses using significance level 0.05 Calculate the test statistic. (Round your answer to two decimal places.) What can be said about the P-value for the test? P-value0.100 0.050

Explanation / Answer

The statistical software output for this problem is:

Analysis of Variance results:
Data stored in separate columns.

Column statistics

ANOVA table

Hence,

f = 3.66

Column n Mean Std. Dev. Std. Error 1 3 85.063333 0.18556221 0.10713439 2 3 84.7 0.38574603 0.22271057 3 3 84.726667 0.32532035 0.18782379 4 3 84.253333 0.2702468 0.15602706

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