(Solved): A researcher is interested to see if having a college degree results in higher incomes. She knows t ...

A researcher is interested to see if having a college degree results in higher incomes. She knows the average income for the general population (in thousands) is \( \mu=49.2 \), with a standard deviation of \( \sigma=5.3 \). She collects a sample of 49 college graduates ( \( N \) ) and determines that their average sample income is \( \mathrm{xbar}=56.9 \), with a standard deviation of \( \mathrm{Sx}=4.7 \). - What is the sample size? - What is the unstandardized effect (numerator of the statistic). -What is the standard error? - Report the relevant inferential statistic? - The appropriate critical values for an alpha of .05 are \( +/-1.96 \). Should you reiect or retain the null? Type either reject or retain as one word. - Is income higher, lower, or the same among college graduates, compared to the general population? Type either higher, lower, or same as one word.