Three assembly lines are used to produce a certain component for an airliner. To examine the production rate, a random sample of six hourly periods is chosen for each assembly line and the number of components produced during these periods for each line is recorded. The output from a statistical software package is:

a. What are the null and alternate hypotheses?

b. What is the test statistic?

c. What is the p-value?

d. Using a .01 significance level, what is your decision regarding the null hypothesis?

e. Interpret the result.

f. Compute 99% confidence intervals that estimate the difference between each pair of means.

g. Which pairs of means are statistically different?

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Summary Groups Sample Size Sum Average Variance Line A 6 250 41.66667 0.266667 Line B 6 260 43.33333 0.666667 Line C 6 249 41.5 0.7 ANOVA Source of Variation df MS F p-value Between Groups Within Groups 12.33333 2 6.166667 11.32653 0.001005 8.166667 15 0.544444 Total 20.5 17