A Simple Random Sample of Ten Firms Was Asked How

question 19

Essay

A simple random sample of ten firms was asked how much money (in thousands of dollars) they spent on employee training programs this year and how much they plan to spend on these programs next year. The data are shown below. $$\begin{array} { l r r r r r r r r r r } \text { Firm } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\\text { This year } & 25 & 31 & 12 & 15 & 21 & 36 & 18 & 5 & 9 & 17 \\\text { Next year } & 21 & 30 & 18 & 20 & 22 & 36 & 20 & 10 & 8 & 15\end{array}$$ Assume that the populations of amount spent on employee training programs are normally distributed.
Can we infer at the 5% significance level that more money will be spent on employee training programs next year than this year?

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Definitions:

Violent Crimes

Offenses that involve force or threat of force, including murder, rape, robbery, and assault.

Catatonia

A psychiatric condition marked by abnormal movements and behaviors, including stiffness, mutism, and stupor.

Unresponsive

The condition or quality of not reacting or responding to external stimuli or inputs.

Stupor

A state of near-unconsciousness or insensibility, often resulting from illness or intoxication.