Independent Simple Random Samples Are Taken to Test the Difference

question 5

Multiple Choice

Independent simple random samples are taken to test the difference between the means of two populations whose variances are not known, but are assumed to be equal. The sample sizes are n₁ = 32 and n₂ = 40. The correct distribution to use is the

• A)t distribution with 73 degrees of freedom
• B)t distribution with 72 degrees of freedom
• C)t distribution with 71 degrees of freedom
• D)t distribution with 70 degrees of freedom

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Definitions:

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.

Output Per Head

The average production of goods and services per individual in a specific period, typically used to measure labor productivity.