Order the processes below from least variability to the greatest variability.
1.Process1, Process2, Process3
2.Process2, Process1, Process3
3.Process3, Process1, Process2
4.Process3, Process2, Process1
Q. 2Both situations below have the same corresponding sample means, but clearly they have different within group variation. Without a calculator, which situation will be result in a smaller p-value when an ANOVA is performed?
Q. 3Find the critical value of F for the following Minitab worksheet at the = 0.05 level.
Process1 Process2 Process3
2 3 4.5
4 7 5.0
6 12 5.5
8 17 6.0
10 6.5
1.3.34
2.19.41
3.9.40
4.3.98
Q. 4Find the missing value for mean square of the factor.
One-way ANOVA: Process1, Process2, Process3
Source DF SS MS F P
Factor __ 46.3 ____ 1.66 0.234
Error 11 153.3 13.9
Total 13 199.6
1.2
2.23.2
3.27.8
4.37.1
Q. 5As the variation within the levels increases the value of F will ________ and consequently the p-value will ________. (Assume all other quantities remain fixed)
1.decrease, increase
2.decrease, decrease
3.increase, decrease
4.increase, increase
Q. 6An inherent problem of using the two sample independent t-test multiple times instead of the analysis of variance to assess for difference in means is
1.the problem of locating the pair that has the mean difference
2.the non-robust nature of the t-test
3.calculating the necessary degrees of freedom
4.the cumulative effect of .
Q. 7The F-test for difference in variances is more dependent on the population being ________ than the t-test.
1.small
2.normally distributed
3.large
4.independent
Q. 8True or False: The values of and are equal.
1.True
2.False
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