A Random Sample of 10 Employees of an Engineering Company $\alpha = 0.05$

question 46

Essay

A random sample of 10 employees of an engineering company was selected. Each employee was asked to report the number of sick days he/she claimed on Wednesdays and Fridays of the previous calendar year. Use this information to test the employer's claim that more employees call in sick on Fridays than on Wednesdays. Use $\alpha = 0.05$ . Assume that the differences between Wednesday's and Friday's sick day counts is normally distributed.
$\begin{array}{|c|c|}\hline \text { Wednesdays } & \text { Fridays } \\\hline 1 & 2 \\\hline 1 & 3 \\\hline 0 & 1 \\\hline 2 & 1 \\\hline 1 & 6 \\\hline 3 & 2 \\\hline 0 & 4 \\\hline 1 & 0 \\\hline 4 & 5 \\\hline 2 & 2 \\\hline\end{array}$

Include your null and altemative hypotheses, the test statistic, $P$ -value or critical value(s), conclusion about the null hypothesis, and conclusion about the claim in your answer.

Analyze and interpret scatterplots and correlation in the context of linear relationships.

Understand the distinction and application of confidence intervals and prediction intervals in simple linear regression.

Grasp the conceptual and procedural specifics of constructing confidence intervals for the expected value of y in regression.

Learn to calculate and interpret correlation coefficients and their implications in linear relationships.

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Definitions:

Marginal Utility

The additional satisfaction or utility that a consumer gains from consuming one more unit of a good or service.

Pretzels

A type of baked pastry made from dough that is commonly shaped into a knot and typically salted.

Utils

A hypothetical unit of measurement used in economics to quantify the level of utility or satisfaction gained from consuming goods and services.

Sensitivity

The degree to which something is affected by changes in external factors, often used in contexts like financial analyses, project planning, or scientific measurements.