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In order to investigate the difference between the average mortgages in the South and the North...

In order to investigate the difference between the average mortgages in the South and the North of the United States, two independent random samples were selected and the following statistics were calculated.

South North
Sample Size 40 45
Sample Mean (in $1000s) $70 $75
Sample standard deviation in ($1000s) $5 $7

a. Run a hypothesis test to prove that the mean mortgages in the South and the North of the United States are different using a significance level of 0.05.

b. Construct and interpret a 95% confidence interval for the difference between mean mortgages in the South and North of the United States.

Math   Statistics-And-Probability   
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