© Macmillan Learning Lucy is using a one-sample T test based on a simple random sample of size $n = 22$ to test the null hypothesis $H_0: \mu = 16.000$ cm against the alternative $H_1: \mu \neq 16.000$ cm. The sample has mean $\bar{x} = 16.218$ cm and standard deviation is $s = 0.764$ cm. Determine the value of the T statistic for this test. Give your answer to three decimal places. $t = $
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The formula for the T-statistic is: $t = \frac{\bar{x} - \mu_0}{s / \sqrt{n}}$ where: $\bar{x}$ is the sample mean $\mu_0$ is the hypothesized population mean (from the null hypothesis) $s$ is the sample standard deviation $n$ is the sample size Step 2: Identify Show more…
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Lucy is using a one-sample t-test based on a simple random sample of size n = 22 to test the null hypothesis H0: μ = 16.000 cm against the alternative H1: μ < 16.000 cm. The sample has mean x̄ = 16.218 cm and standard deviation is s = 0.764 cm. Determine the value of the t-statistic for this test. Give your answer to three decimal places. t = 4.035
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