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Suppose you heard a rumor that there was a difference in the salaries for men and women at your company. You decide to take a sample of employees and...

Suppose you heard a rumor that there was a difference in the salaries for men and women at your company. You decide to take a sample of employees and test the claim.  The file represents a random sample of 100 employees. Use a 0.05 significance level, test whether there is a difference in the mean salary for men versus women. Note: Use salary and gender data.
Gender data 60 females; 40 males and salary data for females and males:
F 41,711 F 27,739 M 67,977 F 32,950 F 72,899 F 30,096 F 42,513 F 48,630 M 51,450 F 46,319 M 74,425
M 62,426 F 29,495 F 58,297 M 40,470 F 77,395 M 41,410 F 47,300 M 26,074 F 26,451 F 25,367 F 25,820
M 32,008 M 27,996 M 45,999 F 48,924 F 46,986 M 79,550 F 72,464 F 39,932 F 55,869 F 52,045
M 26,208 F 30,344 M 58,054 M 68,133 F 31,529 F 35,565 M 35,986 F 24,539 M 25,623 F 44,956 F 31,298
F 28,141 M 29,926 F 60,136 F 26,527 F 56,140 M 43,992 F 28,429 M 54,800 M 37,474 F 29,631 F 55,784
F 31,497 F 54,429 F 31,795 M 94,541 F 36,716 F 62,361 M 69,750 M 44,314 F 49,405 M 76,986 F 31,995
M 31,301 F 39,850 M 59,644 M 49,073 F 37,128 F 66,708 F 38,666 F 44,690 M 47,955 F 31,002
M 42,204 M 80,456 F 49,042 M 77,154 M 25,019 M 64,741 F 46,047 F 52,175 M 30,621 F 49,357
M 27,514 F 27,987 F 25,738 F 64,756 F 41,077 F 37,118 F 51,759 M 97,431 F 85,594 M 85,457 M 32,589 M 28,643 F 51,987 F 33,803 M 43,186
Dear OTA:
I have completed all work.  Could you please show all work to make sure I am on the right track?  Thanks in advance...my file is attached.

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