Construct a Confidence Interval For $\mu _ { \mathrm { d } }$

question 176

Essay

Construct a confidence interval for $\mu _ { \mathrm { d } }$ , the mean of the differences d for the population of paired data. Assume that the
population of paired differences is normally distributed.
-Use the summary statistics below to test the claim that the samples come from populations with different
variances. Use a significance level of 0.05. $$\begin{array} { l l l } \frac { \text { Sample A } } { \mathrm { n } = 28 } & & \frac { \text { Sample B } } { \mathrm { n } = 41 } \\\overline { \mathrm { x } } 1 \mathrm { 1 } = 19.2 & & \overline { \mathrm { x } } _ { 2 } = 23.7 \\\mathrm {~s} = 4.78 & & \mathrm {~s} = 5.93\end{array}$$

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