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

question 53

Multiple Choice

Construct a 95% confidence interval for $\mu _ { 1 } - \mu _ { 2 }$ Two samples are randomly selected from each population. The sample statistics are given below.
$\begin{array} { l l } \mathrm { n } _ { 1 } = 40 & \mathrm { n } _ { 2 } = 35 \\\overline { \mathrm { x } } _ { 1 } = 12 & \bar { x } _ { 2 } = 13 \\\mathrm {~s} _ { 1 } = 2.5 & \mathrm {~s} _ { 2 } = 2.8\end{array}$

• A) (-2.209,0.209)
• B) (-2.001,-1.873)
• C) (-1.968,1.561)
• D) (-1.673,1.892)

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Definitions:

Capital Markets

Financial markets for buying and selling equity and debt instruments, which channel savings and investment between suppliers of capital and users of capital.

Large Sums

Large sums typically refer to a significantly high amount of money in various financial contexts, including investments, transactions, or savings.

Mutually Exclusive Projects

In capital budgeting, projects that automatically exclude one another. Projects are mutually exclusive either because they’re different approaches to doing the same thing or because limited resources preclude doing more than one.

Meeting Need

The process or action of satisfying a requirement, demand, or essential condition.