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.
51 48 52 50 48 52 50 48 52 54
50 52 54 47 49 53 47 46 50 51 $\begin{array}{l}\bar{X}=\frac{1004}{20}=50.2 \\\\s_{X}^{2}=\frac{50506-\frac{(1004)^{2}}{20}}{20-1}=\frac{105.2}{19}=5.537 \\\\s_{X}=\sqrt{5.537}=2.35 \\\\s_{\bar{X}}=\frac{2.35}{\sqrt{20}}=0.525 \\\\t_{\text {obt }}=\frac{50.2-49}{0.525}=+2.29 \\\\t_{\text {crit }}=\pm 2.093\end{array}$