1.State the appropriate null and alternative hypotheses for testing whether or n

Question

1.State the appropriate null and alternative hypotheses for testing whether or not the mean etching rate (in nm/min) differs between RF power levels.

2. What is the test statistic from this test?

3. What is the p-value for this test? What is the conclusion at the 0.01 significance level? What does this mean in terms of the context of the problem?

4. In the Tukey Pairwise Comparisons output, which pairs of means are determined to be significantly different? List all such group differences.

Results form STAT2470ANOMAData mtw one-way ANOVA: Power 160. Powera180, Power 200. Power 220 Nu i hypothesis ALI neans are equal ditte rent Alternative hypothesis At least one mean is iticance level equal variances were assumed for the analysis Factor Informa tion values tea, power 189, Power-200 Levels Facto Analysis of variance E-value P-value 54.58 411 739.47

Explanation / Answer

a) Null Hypothesis : All mean means are equal

Alternative Hypothesis : Atleast one mean is different

b) the test statistic is given by the F value in first pic which is 66.92

c) p calue is given by 0.000 which means that the hypothesis will be rejected

at p calue .001, we will reject the null hypothesis and conclude that we have atleast one different mean

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