The income of males in each state of the United States, including the District of Columbia and Puerto Rico, are given in table #9.3.3, and the income of females is given in table #9.3.4 ("Median income of," 2013). Is there enough evidence to show that the mean income of males is more than of females? Test at the 1% level. (Show the work) Table #9.3.3: Data of 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$46,176$41,420$45,976$47,956$22,529$48,842$41,464$40,285$41,309$43,160$47,573$44,057$52,805$53,046$42,125$46,214$51,630 Table #9.3.4: Data of Income for Females$31,862$40,550$36,048$30,752$41,817$40,236$47,476$40,500$60,332$33,823$35,438$37,242$31,238$39,150$34,023$33,745$33,269$32,684$31,844$34,599$48,748$46,185$36,931$40,416$29,548$33,865$31,067$33,424$35,484$41,021$47,155$32,316$42,113$33,459$32,462$35,746$31,274$36,027$37,089$22,117$41,412$31,330$31,329$33,184$35,301$32,843$38,177$40,969$40,993$29,688$35,890$34,381

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Description: The income of males in each state of the United States, including the District of Columbia and Puerto Rico, are given in table #9.3.3, and the income of females is given in table #9.3.4 ("Median income of," 2013). Is there enough evidence to show th

Given information: Given data represents the data of income for males and income for females.

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The income of males in each state of the United States, including the District of Columbia and Puerto Rico, are given in table #9.3.3, and the income of females is given in table #9.3.4 ("Median income of," 2013). Is there enough evidence to show that the mean income of males is more than of females? Test at the 1% level. (Show the work)

Table #9.3.3: Data of 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
$46,176	$41,420	$45,976	$47,956	$22,529	$48,842	$41,464
$40,285	$41,309	$43,160	$47,573	$44,057	$52,805	$53,046
$42,125	$46,214	$51,630

Table #9.3.4: Data of Income for Females

$31,862	$40,550	$36,048	$30,752	$41,817	$40,236	$47,476	$40,500
$60,332	$33,823	$35,438	$37,242	$31,238	$39,150	$34,023	$33,745
$33,269	$32,684	$31,844	$34,599	$48,748	$46,185	$36,931	$40,416
$29,548	$33,865	$31,067	$33,424	$35,484	$41,021	$47,155	$32,316
$42,113	$33,459	$32,462	$35,746	$31,274	$36,027	$37,089	$22,117
$41,412	$31,330	$31,329	$33,184	$35,301	$32,843	$38,177	$40,969
$40,993	$29,688	$35,890	$34,381

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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