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2020-10-20

Suppose you are testing whether the lifetime of 4 different types of lightbulbs. You run 5 experiments each. You get a mean square error of $M{S}_{E}=1.75$ and you reject the null hypothesis. The sample means you obtain for each lightbulb are below:

Type 1: 20

Type 2: 30

Type 3: 28

Type 4: 22

Which pairs are significantly different at the$5\mathrm{\%}$ significance level? Select all that apply.

Type 1: 20

Type 2: 30

Type 3: 28

Type 4: 22

Which pairs are significantly different at the

Bertha Stark

Skilled2020-10-21Added 96 answers

Step 1

From the provided data we have,

Step 2

Using Tukey’s HSD:

We first compute the Tukey’s HSD as below:

(Where n represent the number of observations in each group).

The absolute differences in group means is computed as below:

We say that the groups are significantly only when the absolute difference in group mean is larger than the HSD value.

Thus, this difference is larger for Group 1 and 2, Group 1 and 3, Group 2 and 4 and Group 3 and 4

Thus, the pairs that are significantly different at the

and other groups are not significant.

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