Using the Sample Paired Data Below, Construct a 90% Confidence $\begin{array}{|l|l|l|l|l|l|}\hline x & 5.0 & 4.7 & 4.4 & 5.1 & 6.4 \\\hline y & 4.7 & 3.5 & 4.0 & 5.8 & 4.1 \\\hline\end{array}$

question 4

Multiple Choice

Using the sample paired data below, construct a 90% confidence interval for the population mean of all differences x-y $\begin{array}{|l|l|l|l|l|l|}\hline x & 5.0 & 4.7 & 4.4 & 5.1 & 6.4 \\\hline y & 4.7 & 3.5 & 4.0 & 5.8 & 4.1 \\\hline\end{array}$

• A) \(( - 0.69,2.09 )\)
• B) \(( 0.22,7.48 )\)
• C) \(( - 0.37,1.77 )\)
• D) \(( - 0.07,1.47 )\)
• E) \(( - 0.48,1.88 )\)

---

Definitions:

Z-scores

A measure of how many standard deviations an element is from the mean. It is used in statistics to identify how unusual or typical a data point is.

Standard Normal Distribution

A normal distribution with a mean of zero and a standard deviation of one, used as a basis for comparing other normal distributions.

Less Than

A mathematical relation indicating that one quantity is smaller than another.

Z-scores

A statistical measurement of how many standard deviations an element is from the mean of its population.