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) $( - 0.48,1.88 )$

Question

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) $( - 0.48,1.88 )$

Quizplus · Accepted Answer

The correct answer is C because the 90% confidence interval for the population mean of all differences x-y is (-0.37, 1.77). This interval was calculated using the formula:CI = (x̄ - ȳ) ± t* (s/√n)where x̄ and ȳ are the sample means, s is the sample standard deviation, n is the sample size, and t* is the critical value from the t-distribution with n-1 degrees of freedom and a confidence level of 90%.

Using the Sample Paired Data Below, Construct a 90% Confidence x5.04.74.45.16.4y4.73.54.05.84.1\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}xy​5.04.7​4.73.5​4.44.0​5.15.8​6.44.1​​

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