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

question 191

Essay

Construct a confidence interval for μd\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.
-Test scores for random samples of students from two different schools were recorded. The summary statistics
are given below.  School A  School B n=31n=25xˉ1=63.7xˉ2=59.2 s1=5.16 s2=4.89\begin{array}{lll}\text { School A } & & \text { School B } \\ \mathrm{n}=31 & &{\mathrm{n}}_{=25} \\\bar{x}_{1}=63.7 & & \bar{x}_{2}=59.2 \\\mathrm{~s}_{1}=5.16 & & \mathrm{~s}_{2}=4.89\end{array}
Use a 0.05 significance level to test the claim that the standard deviation of test scores for students from school A
is different from the standard deviation of test scores for students from school B.

Understand how the delay time of a timer is calculated.
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