Using the Following Data, Conduct a Two-Tailed T-Test

Short Answer

Using the following data, conduct a two-tailed t-test.Use a known population mean of 49 and α = .05.
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50 52 54 43 44 53 40 46 50 51 $\begin{array}{l}\bar{X}=\frac{1004}{20}=50.2 \\\\s_{X}^{2}=\frac{50818-\frac{(1004)^{2}}{20}}{20-1}=\frac{417.2}{19}=21.958 \\\\s_{X}=\sqrt{21.958}=4.69 \\\\s_{\bar{X}}=\frac{4.69}{\sqrt{20}}=1.05 \\\\t_{\text {obt }}=\frac{50.2-49}{1.05}=+1.14 \\\\t_{\text {crit }}=\pm 2.093\end{array}$