Because of the rising costs of industrial accidents, many chemical, mining and manufacturing firms have instituted safety courses. Employees are encouraged to take these courses, which are designed to heighten safety awareness. A company is trying to decide which one of two courses to institute. To help make a decision, eight employees take course 1 and another eight take course 2. Each employee takes a test, which is graded out of a possible 25. The safety test results are shown below. $$\begin{array} { | l | l | l | l | l | l | l | l | l | }
\hline \text { Course 1 } & 14 & 21 & 17 & 14 & 17 & 19 & 20 & 16 \
\hline \text { Course 2 } & 20 & 18 & 22 & 15 & 23 & 21 & 19 & 15 \
\hline
\end{array}$$ Assume that the scores are normally distributed. Does the data provide sufficient evidence at the 5% level of significance to infer that the marks from course 1 are lower than those from course 2?

Question

Because of the rising costs of industrial accidents, many chemical, mining and manufacturing firms have instituted safety courses. Employees are encouraged to take these courses, which are designed to heighten safety awareness. A company is trying to decide which one of two courses to institute. To help make a decision, eight employees take course 1 and another eight take course 2. Each employee takes a test, which is graded out of a possible 25. The safety test results are shown below. $$\begin{array} { | l | l | l | l | l | l | l | l | l | } 
\hline \text { Course 1 } & 14 & 21 & 17 & 14 & 17 & 19 & 20 & 16 \
\hline \text { Course 2 } & 20 & 18 & 22 & 15 & 23 & 21 & 19 & 15 \
\hline
\end{array}$$ Assume that the scores are normally distributed. Does the data provide sufficient evidence at the 5% level of significance to infer that the marks from course 1 are lower than those from course 2?

Quizplus · Accepted Answer

The Answer of Because of the rising costs of industrial accidents, many chemical, mining and manufacturing firms have instituted safety courses. Employees are encouraged to take these courses, which are designed to heighten safety awareness. A company is trying to decide which one of two courses to institute. To help make a decision, eight employees take course 1 and another eight take course 2. Each employee takes a test, which is graded out of a possible 25. The safety test results are shown below. $$\begin{array} { | l | l | l | l | l | l | l | l | l | } 
\hline \text { Course 1 } & 14 & 21 & 17 & 14 & 17 & 19 & 20 & 16 \
\hline \text { Course 2 } & 20 & 18 & 22 & 15 & 23 & 21 & 19 & 15 \
\hline
\end{array}$$ Assume that the scores are normally distributed. Does the data provide sufficient evidence at the 5% level of significance to infer that the marks from course 1 are lower than those from course 2?

Because of the Rising Costs of Industrial Accidents, Many Chemical