FILE A quality-control manager wants to test whether there is any difference in the length of life

Question:

FILE A quality-control manager wants to test whether there is any difference in the length of life of three brands of light bulbs. Random samples of new light bulbs installed in the firm's office light fixtures yield the expiration data (in hours)

in the follow ing table. The data are also available on the text website, labeled Bulb Longevity.

Brand 1 Brand 2 Brand 3 375 280 350 400 290 415 425 300 425 410 325 380 420 350 405

a. Specify the competing hypotheses in order to test whether differences exist in the median length of life of the three brands of light bulbs.

b. Calculate the value of the test statistic H.

c. Approximate the p-value.

d. At the 10% significance level, do differences exist between the median length of life of the three brands? Explain.

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