A quality-control manager wants to test whether there is any difference in the median length of life
Question:
A quality-control manager wants to test whether there is any difference in the median length of life of light bulbs between three different brands. Random samples were drawn from each brand where the duration of each light bulb (in hours) was measured. The results are shown in the accompanying table.
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 to test whether some differences exist in the median length of life of light bulbs between the three brands.
b. Calculate the value of the test statistic H.
c. Approximate the p-value.
d. At the 10% significance level, do some differences exist between the median length of life of light bulbs by brand? Explain.
Step by Step Answer:
Business Statistics Communicating With Numbers
ISBN: 9780078020551
2nd Edition
Authors: Sanjiv Jaggia, Alison Kelly