Find the Standardized Test Statistic to Test the Hypothesis That $\mu _ { 1 } = \mu _ { 2 }$

question 49

Multiple Choice

Find the standardized test statistic to test the hypothesis that $\mu _ { 1 } = \mu _ { 2 }$ . Two samples are randomly selected from each population. The sample statistics are given below. Use $\alpha = 0.05$ .
$$\begin{array} { l l } \mathrm { n } _ { 1 } = 50 & \mathrm { n } _ { 2 } = 60 \\\overline { \mathrm { x } } 1 = 21 & \overline { \mathrm { x } _ { 2 } } = 19 \\\mathrm {~s} 1 = 1.5 & \mathrm {~s} _ { 2 } = 1.9\end{array}$$

• A) 6.2
• B) 8.1
• C) 4.2
• D) 3.8

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Birth Rate

The number of live births per thousand people in a population over a given period of time.

Malthus's Prediction

Refers to Thomas Malthus's theory that population growth would outpace the growth of food supply, leading to widespread poverty and famine.

Less Developed Countries

Nations with a lower living standard, undeveloped industrial base, and low Human Development Index relative to other countries.

Per Capita Income

The average income earned per person in a given area or country, calculated by dividing the total income of the area by its population.