A sample data is drawn from a normal population with unknown mean mu and known variance. The P-value for the test H0 : mu = 10 vs H1 : mu < 10 is 0.05. (a) Would you reject H0 : mu = 10 in favor of H1 : mu < 10 at the level 4% of significance? (b) Would you reject H0 : mu = 9 in favor of H1 : mu < 9 at the level 5% of significance? (MTH 380) November 23, 2023 38 / 41
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05. This means that if the null hypothesis is true (i.e., if the population mean is 10), the probability of obtaining a sample mean as extreme as the one observed (or more extreme) is 0.05. Show more…
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