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a New Realtor in a Large Community Is Attempting μ1=μ2\mu _ { 1 } = \mu _ { 2 }

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A new realtor in a large community is attempting to determine differences in the selling prices of houses in two sections of the community.Population 1 is the Northeast and Population 2 is the Southwest.The realtor is going to perform the hypothesis test: H0: μ1=μ2\mu _ { 1 } = \mu _ { 2 } H1: μ1μ2\mu _ { 1 } \neq \mu _ { 2 } A random sample of 35 sale homes is taken from the Northeast and 41 from those in the Southwest using the multiple listing services.A Minitab summary of the results of the two samples expressed in thousands follows:  N  MEAN  MEDIAN  TRMEAN  STDEV  SE MEAN  NORTHEAST 3586.78984.80088.31360.06710.153 SOUTHWEST 4160.49062.20061.85714.7402.302\begin{array} { l c c c c c c } & \text { N } & \text { MEAN } & \text { MEDIAN } & \text { TRMEAN } & \text { STDEV } & \text { SE MEAN } \\\text { NORTHEAST } & 35 & 86.789 & 84.800 & 88.313 & 60.067 & 10.153 \\\text { SOUTHWEST } & 41 & 60.490 & 62.200 & 61.857 & 14.740 & 2.302\end{array}
-What is the standard error of the difference between the two means?

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