3.30. Several ovens in a metal working shop are used to heat metal specimens. Al

Question

3.30. Several ovens in a metal working shop are used to heat metal specimens. All the ovens are supposed to operate at the same temperature, although it is suspected that this may not be true. Three ovens are selected at random, and their tem- peratures on successive heats are noted. The data collected are as follows: Oven Temperature 1491.50 498.30 498.10 493.50 493.60 2 488.50 484.65 479.90 477.35 3 490.10 484.80 488.25 473.00 471.85 478.65 (a) Is there significant variation in temperature between ovens? Use = 0.05. (b) Estimate the components of variance for this model. (c) Analyze the residuals from this experiment and draw conclusions about model adequacy.

Explanation / Answer

a)p value for the ANOVA test is 0.00477 which is less than 0.05 level of significance, hence we reject the null hypothesis that there is no difference between the oven temperatures

b)

c)Sufficient large values of F suggests that model is a good fit

Anova: Single Factor SUMMARY Groups Count Sum Average Variance Row 1 5 2475 495 9.24 Row 2 4 1930.4 482.6 24.62167 Row 3 6 2886.65 481.1083 60.59742 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 594.5303 2 297.2651 8.620293 0.004777 3.885294 Within Groups 413.8121 12 34.48434 Total 1008.342 14

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