Question

Use the same dataset in StatCrunch, “NSF Salary and Gender PROJECT comparison,” which gives the salaries of Doctoral recipients by gender. Assume that this data was obtained from random sampling. Give a 99% confidence interval for the difference in the mean salaries of men and women. Include the sample statistics, degrees of freedom, LaTeX: t_{\frac{\alpha}{2}}t α 2and standard error.
b. Based on your confidence interval to you think there is a significant difference?

Answer 1

Solution:-

a) 99% confidence interval for the difference in the mean salaries of men and women is C.I = (8408.8615,23248.7961)

b) Since the confidence interval does not contains 0, hence we have sufficient evidence that there is significant difference between the mean salary of males and females.