(6) (made-up data) Hypothesis Test problem comparing two population MEANS. Make sure to show your setup for the t-Test, df, and how you found the t-Critical.Also, use software to find the p-value (probability) is it larger or smaller than? Does this conclusion match the one based on the t-Test versus t-Critical? (It must). For the p-value, make sure you know which area (right or left) you need to use (greater than or less than). (If NO Confidence Level or is provided assume 95% and 5%, respectively)

Median Income for Males

$42,951	$52,379	$42,544	$37,488	$49,281	$50,987	$60,705
$50,411	$66,760	$40,951	$43,902	$45,494	$41,528	$50,746
$45,183	$43,624	$43,993	$41,612	$46,313	$43,944	$56,708
$60,264	$50,053	$50,580	$40,202	$43,146	$41,635	$42,182
$41,803	$53,033	$60,568	$41,037	$50,388	$41,950	$44,660

Median Income for Females

$31,862	$40,550	$36,048	$30,752	$41,817	$40,236	$47,476
$60,332	$33,823	$35,438	$37,242	$31,238	$39,150	$34,023
$33,269	$32,684	$31,844	$34,599	$48,748	$46,185	$36,931
$29,548	$33,865	$31,067	$33,424	$35,484	$41,021	$47,155
$42,113	$33,459	$32,462	$35,746	$31,274	$36,027	$37,089

t-Test = [(x-bar1 - x-bar2) -(1 - 2)] / sqrt ( s₁²/n1 + s₂²/n2)

To find the t-Critical we need the degrees of freedom (df) and the formula to calculate df is "hairy". As presented earlier, there simpler formula that is used by some statisticians: df = (n1 - 1) + (n2 - 1)