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The Following Information Was Obtained from Independent Random Samples Taken

question 28

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The following information was obtained from independent random samples taken of two populations. Assume normally distributed populations with equal variances.  Sample 1  Sample 2  Sample Mean 4542 Sample Variance 8590 Sample Size 1012\begin{array} { l l l } & \text { Sample 1 } & \text { Sample 2 } \\\text { Sample Mean } & 45 & 42 \\\text { Sample Variance } & 85 & 90 \\\text { Sample Size } & 10 & 12\end{array}
The 95% confidence interval for the difference between the two population means is (use rounded standard error)

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Definitions:

GDP

Gross Domestic Product, the total monetary or market value of all the finished goods and services produced within a country's borders in a specific time period.

Malthusian Theory

A theory proposed by Thomas Malthus suggesting that population growth will outpace agricultural production and lead to widespread poverty and famine.

Geometric Progression

A sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

Arithmetic Progression

A sequence of numbers in which each term after the first is obtained by adding a constant, known as the common difference, to the preceding term.

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