Chapter 11: Q 56 (page 658)
Short Answer
The appropriate test is test for homogeneity
Chapter 11: Q 56 (page 658)
The appropriate test is test for homogeneity
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A plant manager is concerned her equipment may need recalibrating. It seems that the actual weight of the . cereal boxes it fills have been fluctuating. The standard deviation should be at most . In order to determine if the machine needs to be recalibrated, randomly selected boxes of cereal from the next day’s production were weighed. The standard deviation of the boxes was . Does the machine need to be recalibrated?
Suppose an airline claims that its flights are consistently on time with an average delay of at most 15 minutes. It claims that the average delay is so consistent that the variance is no more than 150 minutes. Doubting the consistency part of the claim, a disgruntled traveler calculates the delays for his next 25 flights. The average delay for those 25 flights is 22 minutes with a standard deviation of 15 minutes.
How did you know to test the variance instead of the mean?
a. Explain why a goodness-of-fit test and a test of independence are generally right-tailed tests.
b. If you did a left-tailed test, what would you be testing?
A poll in California surveyed people about taxing sugar-sweetened beverages. The results are presented in the Table and are classified by ethnic group and response type. Are the poll responses independent of the participants’ ethnic group? Conduct a test of independence at the significance level.
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