What is the value of your test statistic? What can you conclude?
Belinda Buttons of the Peerless Zipper Company is in charge of quality control for the production of their 12-inch zippers. Recently, she has become worried about a disturbing drop in the quality of the zippers produced by her division. The zippers should be normally distributed with ? = 12 and ? = .10. She randomly samples 100 zippers and finds their mean length to be 12.06 inches. Do Belinda's zippers differ significantly from the population of zippers?
Ans:
The test statistic of t = 6.00 exceeds the critical value of + 1.96; therefore, we reject the null hypothesis and conclude that the length of zippers is different (longer) than what is it supposed to be. She should implement changes to the production of the zippers.
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