A Simple Random Sample of Ten Firms Was Asked How

question 37

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:

Gazing Patterns

The way in which individuals look at others or objects in their environment, often studied to understand attention, attraction, and social cues.

Non-Verbal Communication

The process of conveying information or expressing feelings without the use of spoken words, through gestures, facial expressions, and body language.

Gaze

Looking at someone’s eyes.

Emblem

A symbolic object or a sign that represents a group, organization, or country, often conveying specific meanings recognized by members of the culture or group.