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STAT 200: The income of males in each state of the United States, including the District of Columbia and Puerto Rico, are given in table E and the income of females is given in table F.
STAT 200: The income of males in each state of the United States, including the District of Columbia and Puerto Rico, are given in table E and the income of females is given in table F.: Expert Solutions for Success
The income of males in each state of the United States, including the District of Columbia and Puerto Rico, are given in table E and the income of females is given in table F. Is there enough evidence to show that the mean income of males is more than of females? Test at the 10% level.
Table E: 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 |
Table F: Data of Income for Females
|
$31,862 |
$40,550 |
$40,048 |
$38,752 |
$41,817 |
$40,236 |
$47,476 |
$40,500 |
|
$60,332 |
$33,823 |
$35,438 |
$37,242 |
$41,238 |
$41,150 |
$45,023 |
$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 |
Answer
P-value = 0.00001
Since p-value is less than 0.1, we reject the null hypothesis.
The result is statistically significant at 0.1 significance level. Therefore, sufficient evidence exists to support the claim that the mean income of males is more than of females.
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