You wish to test the following claim (Ha) at a significance level of α=0.005. Ho:μ=74.2 Ha:μ≠74.2 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=22 with mean M=83 and a standard deviation of SD=18.8. What is the p-value for this sample? (Report answer accurate to four decimal places.)
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Since we don't know the population standard deviation, we will use the t-statistic. The formula for the t-statistic is: t = (M - μ) / (SD / √n) where M is the sample mean, μ is the population mean, SD is the sample standard deviation, and n is the sample Show more…
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