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A Simple Random Sample of Ten Firms Was Asked How

question 37

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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.  Firm 12345678910 This year 253112152136185917 Next year 2130182022362010815\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:

Pure Competition

Refers to a market structure where there are many sellers and buyers, products are homogeneous, and there is free entry and exit in the market.

Free Enterprise

An economic system based on private ownership, voluntary exchange, competition, and the freedom of individuals to engage in business transactions.

Oligopoly

A market structure characterized by a small number of large firms dominating the industry, often leading to limited competition.

Pure Monopoly

A market structure characterized by a single seller, selling a unique product in the market with no close substitutes, leading to significant control over prices.

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