Testing the same null hypothesis


Two investigators are testing the same null hypothesis about box X, that its average equals 50. They agree on the alternative hypothesis, that the average differs from 50. They also agree to use a two-tailed z-test. The first investigator takes 100 tickets at random from the box, with replacement. The second investigator takes 900 tickets at random, also with replacement. Both investigators get the same SD of 10. True or false: the investigator whose average is further from 50 will get the smaller P-value.

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Basic Statistics: Testing the same null hypothesis
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