Q5.B The income of males in each state of the United States, including the District of Columbia and Puerto Rico, are given in Table 1, and the income of females is given in Table 2 ("Median income of," 2013): Table 1: 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 2: 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 Is there enough evidence to show that the mean income of males is more than of females? Test at the 1% level. (iv) For sample from population with mean = μ1 : Determine sample mean x⎯⎯1 and sample standard deviation s1iv For sample from population with mean = μ1 : Determine sample mean x¯1 and sample standard deviation s1 Enter sample mean in decimal form to nearest hundredth, then comma, then sample standard deviation in decimal form to nearest hundredth. Examples of correctly entered answers: 13.27,2.31 0.27,0.06 -10.30,0.79 (v) For sample from population with mean = μ2 : Determine sample mean x⎯⎯2 and sample standard deviation s2v For sample from population with mean = μ2 : Determine sample mean x¯2 and sample standard deviation s2 Enter sample mean in decimal form to nearest hundredth, then comma, then sample standard deviation in decimal form to nearest hundredth. Examples of correctly entered answers: 13.27,2.31 0.27,0.06 -10.30,0.79 (vi) Determine degrees of freedom df : Enter value in decimal form rounded down to nearest whole number. Examples of correctly entered answe
Q5.B
The income of males in each state of the United States, including the District of Columbia and Puerto Rico, are given in Table 1, and the income of females is given in Table 2 ("
Table 1: 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 2: 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 |
|
|
|
|
Is there enough evidence to show that the
(iv) For sample from population with mean = μ1 : Determine sample mean x⎯⎯1 and sample standard deviation s1iv For sample from population with mean = μ1 : Determine sample mean x¯1 and sample standard deviation s1
Enter sample mean in decimal form to nearest hundredth, then comma, then sample standard deviation in decimal form to nearest hundredth. Examples of correctly entered answers:
13.27,2.31
0.27,0.06
-10.30,0.79
(v) For sample from population with mean = μ2 : Determine sample mean x⎯⎯2 and sample standard deviation s2v For sample from population with mean = μ2 : Determine sample mean x¯2 and sample standard deviation s2
Enter sample mean in decimal form to nearest hundredth, then comma, then sample standard deviation in decimal form to nearest hundredth. Examples of correctly entered answers:
13.27,2.31
0.27,0.06
-10.30,0.79
(vi) Determine degrees of freedom df :
Enter value in decimal form rounded down to nearest whole number. Examples of correctly entered answers:
1 23 72
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