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

question 21

Short Answer

Using the following data, conduct a two-tailed t-test.Use a known population mean of 49 and α = .05.
55 48 59 50 48 52 50 48 57 54
50 52 54 43 44 53 40 46 50 51 $\begin{array}{l}\bar{X}=\frac{1004}{20}=50.2 \\\\s_{X}^{2}=\frac{50818-\frac{(1004)^{2}}{20}}{20-1}=\frac{417.2}{19}=21.958 \\\\s_{X}=\sqrt{21.958}=4.69 \\\\s_{\bar{X}}=\frac{4.69}{\sqrt{20}}=1.05 \\\\t_{\text {obt }}=\frac{50.2-49}{1.05}=+1.14 \\\\t_{\text {crit }}=\pm 2.093\end{array}$

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Definitions:

Fixed Manufacturing Overhead

Expenses associated with manufacturing that do not vary with the level of production, including salaries of managers and depreciation of equipment.

Direct Labor Costs

Expenses directly tied to the work of employees manufacturing a product or delivering a service.

Work in Process

A category of inventory representing items currently being manufactured but not yet completed.

Direct Labor

The wages and other costs for labor directly involved in the production of goods or services, excluding indirect labor costs.