Construct a 95% Confidence Interval For $\mu _ { 1 } - \mu _ { 2 }$

question 66

Multiple Choice

Construct a 95% confidence interval for $\mu _ { 1 } - \mu _ { 2 }$ Two samples are random, independent, and come from populations that are normally distributed The sample statistics are given below. Assume that $\sigma _ { 1 } ^ { 2 } = \sigma _ { 2 } ^ { 2 }$ $$\begin{array} { l l } \mathrm { n } _ { 1 } = 11 & \mathrm { n } _ { 2 } = 18 \\\overline { \mathrm { x } } 1 = 4.8 & \overline { \mathrm { x } } 2 = 5.2 \\\mathrm {~s} _ { 1 } = 0.76 & \mathrm {~s} _ { 2 } = 0.51\end{array}$$

• A)(-0.883, 0.083)
• B)(-4.152, 3.981)
• C)(-2.762, 2.762)
• D)(-1.762, 1.762)

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Definitions:

Externalities

The positive or negative impacts of a market transaction experienced by third parties not directly involved in the transaction.

Marginal Cost

The change in total cost that arises when the quantity produced is incremented by one unit, essentially the cost of producing one additional unit of a good.

Global Warming

The long-term rise in Earth's average surface temperature due to human activities, particularly the emission of greenhouse gases, leading to climate change.

Marginal Benefit

The boost in value or pleasure gained from the consumption of one more unit of a good or service.