SCENARIO 4:A consumer magazine wants to compare the lifetimes of ballpoint pens of three different types. The magazine takes a random sample of pens of each type in the following table.

Brand 1 Brand 2 Brand 3

260 181 238

218 240 257

184 162 241

219 218 213

Test the hypothesis that there is no difference in mean lifetime for the three brands of ballpoint pens.

NOTE:For all tests assume a 5% alpha level unless noted otherwise. Round answers to two places after the decimal point. Use Excel to generate ANOVA output.

QUESTION 1

Referring to Scenario 4, the critical value of the test statistic at 1% level of significance is:

4.26

8.02

None of the other choices is correct

1.62

QUESTION 2

Referring to Scenario 4, the numerator degrees of freedom equal:

11

2

9

12

QUESTION 3

Referring to Scenario 4, the percentage of explained variation is:

0.26%

None of the other choices is correct

26.47%

2.65%

QUESTION 4

Referring to Scenario 4, the total sample size is:

15

3

12

16

QUESTION 5

Referring to Scenario 4, at a 30% level of significance the decision is:

None of the other choices is correct

Fail to reject null hypothesis, means are not different

Reject null hypothesis, means are different

Reject null hypothesis, means are not different