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A researcher seeks to examine whether or not center-city families have significantly more children than suburban...

A researcher seeks to examine whether or not center-city families have significantly more children than suburban families. Random samples from both areas are gathered and the following sample statistics are computed.

Sample 1 (Center-City)

Sample 2 (Suburban)

Mean= 2.78

Mean = 2.37

Standard deviation= .95

Standard deviation= .63

N1= 101

N2= 125

Do families that reside in the center-city have statistically significantly more children than families that reside in the suburbs? Conduct a hypothesis test at 0.05 significance level (that is, α = 0.05).  Summarize your conclusions in a few sentences.   

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