Q5.1 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. (i) Let μ1 = mean income of a male in 2013. Let μ2 = mean income of a female in 2013. Which of the following statements correctly defines the null hypothesis HO? A. μ1 − μ2 = 0 (μ1 = μ2) B. μ1 – μ2 < 0 (μ1 < μ2) C. μ1 − μ2 > 0 (μ1 > μ2) D. μ1 + μ2 = 0 Enter letter corresponding to correct answer (ii) Let μ1 = mean income of a male in 2013. Let μ2 = mean income of a female in 2013. Which of the following statements correctly defines the alternative hypothesis HA? A. μ1 − μ2 = 0 (μ1 = μ2) B. μ1 – μ2 < 0 (μ1 < μ2) C. μ1 − μ2 > 0 (μ1 > μ2) D. μ1 + μ2 = 0 Enter letter corresponding to correct answer
Q5.1
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 mean income of males is more than of females? Test at the 1% level.
(i) Let μ1 = mean income of a male in 2013. Let μ2 = mean income of a female in 2013. Which of the following statements correctly defines the null hypothesis HO?
A. μ1 − μ2 = 0 (μ1 = μ2)
B. μ1 – μ2 < 0 (μ1 < μ2)
C. μ1 − μ2 > 0 (μ1 > μ2)
D. μ1 + μ2 = 0
Enter letter corresponding to correct answer
(ii) Let μ1 = mean income of a male in 2013. Let μ2 = mean income of a female in 2013. Which of the following statements correctly defines the alternative hypothesis HA?
A. μ1 − μ2 = 0 (μ1 = μ2)
B. μ1 – μ2 < 0 (μ1 < μ2)
C. μ1 − μ2 > 0 (μ1 > μ2)
D. μ1 + μ2 = 0
Enter letter corresponding to correct answer
(iii) Enter the level of significance α used for this test:
Enter in decimal form. Examples of correctly entered answers: 0.01 0.02 0.05 0.10
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