Construct and Interpret Confidence Intervals Regarding the Difference of Two $95 \%$

question 55

Multiple Choice

Construct and Interpret Confidence Intervals Regarding the Difference of Two Independent Means
-Construct a $95 \%$ confidence interval for $\mu _ { 1 } - \mu _ { 2 }$ . Two samples are randomly selected from normal populations.
The sample statistics are given below.
$\begin{array} { l l } \mathrm { n } _ { 1 } = 11 & \mathrm { n } _ { 2 } = 18 \\ \overline { \mathrm { x } } 1 = 4.8 & \overline { \mathrm { x } _ { 2 } } = 5.2 \\ \mathrm {~s} _ { 1 } = 0.76 & \mathrm {~s} _ { 2 } = 0.51 \end{array}$

• A) \(( - 0.977,0.177 )\)
• B) \(( - 4.152,3.981 )\)
• C) \(( - 2.762,2.762 )\)
• D) \(( - 1.762,1.762 )\)

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Definitions:

Compounded Semi-Annually

Interest that is computed and added to the original amount every six months, resulting in compound interest.

Compounded Annually

A method where interest is added to the principal balance once a year, affecting the total interest earned or paid.

Compounded Monthly

A method of calculating interest where interest earned is added to the principal monthly, so each subsequent interest calculation is on an increased amount.

Monthly Compounding

A method of calculating interest whereby the interest is calculated and added to the principal amount at the end of each month.