You wish to test the following claim ($H_1$) at a significance level of 0.001. $H_0: \mu = 51.7$ $H_1: \mu \neq 51.7$ You believe the population is normally distributed and you know the standard deviation is $\sigma = 11.9$. You obtain a sample mean of $\bar{x} = 48.1$ for a sample of size $n = 39$. Part 1: What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = $\pm$ What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic =
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Since the significance level is 0.001, we need to find the z-score that corresponds to a cumulative probability of 0.999. This z-score is the critical value for the test. Show more…
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