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9.1 Other things being equal, the closer the hypothesized mean is to the actual mean, the larger the risk of committing a Type II error will be. 9.3 Decision rule: Reject H 0 if Z STAT < 1.645 or Z STAT > + 1.645. 9.9 is the probability of incorrectly convicting the defendant when he is innocent. is the probability of incorrectly failing to convict the defendant when he is guilty. 9.13 (a) H 0 : = 14.6 hours H 1 : 14.6 hours (b) A Type I error is the mistake of concluding that the mean number of hours studied at your school is different from the 14.6 hour benchmark reported by Business Week when in fact it is not any different. (c) A Type II error is the mistake of not concluding that the mean number of hours studied at your school is different from the 14.6 hour benchmark reported by Business Week when it is in fact different. 9.17 d.f. = 15 9.21 Yes, you may use the t test to test the null hypothesis that = 60 even though the population is left-skewed because the sample size is sufficiently large ( n = 160). The t test assumes that, if the underlying population is not normally distributed, the sample size is sufficiently large to enable the test statistic t to be influenced by the Central Limit Theorem.

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