For 30 female assistant professors selected at random from arts and science departments in a large state university system, the mean academic year salary is $52,000. The mean salary for a random sample of 50 male assistant professors is $52,800. The same standard deviation are $3000 for females and $3400 for males. a. Construct a 95% confidence interval for the difference in mean salary between male and female assistant professors in this system. Interpret. b. Use the CI in part a to determine what decision you would make in a 2- sided test, using α= 0.05 solution
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