im going crazy trying to figure out this problem; please help!

2. Assume that we drew a random sample of 300 women who had recently graduated from USC. All of these women worked full time in 2018. They earned an average salary of $42,167 (s.d. = $26,413). Based on data from the US Census Bureau, we know that the national average salary for women is $40,675.

a. USC is looking to make the case that women who have graduated from the university make significantly more than the national average. Using an alpha level of .05, is there sufficient evidence to be support this contention? Be sure to select the correct critical value for the alternative hypothesis, and then use this evidence to make your conclusion. Show all calculations and hypotheses, as well as writing about the findings in “plain English.”

b. What is the area above the calculated test statistic you calculated in 2a? (In other words, what is the p-value of the calculated test statistics?) How does this compare to the alpha level of .05?

c. Now assume that you have a random sample of 78 recent female graduates who studied statistics. Their average salary is $46,507. Test the hypothesis that these women earn more, on average, than the national average. Show all calculations and hypotheses, as well as writing about the findings in “plain English.”

2. Assume that we drew a random sample of 300 women who had recently graduated from USC. All of these women worked full time in 2018. They earned an average salary of $42,167 (s.d. = $26,413). Based on data from the US Census Bureau, we know that the national average salary for women is $40,675.

a. USC is looking to make the case that women who have graduated from the university make significantly more than the national average. Using an alpha level of .05, is there sufficient evidence to be support this contention? Be sure to select the correct critical value for the alternative hypothesis, and then use this evidence to make your conclusion. Show all calculations and hypotheses, as well as writing about the findings in “plain English.”

b. What is the area above the calculated test statistic you calculated in 2a? (In other words, what is the p-value of the calculated test statistics?) How does this compare to the alpha level of .05?

c. Now assume that you have a random sample of 78 recent female graduates who studied statistics. Their average salary is $46,507. Test the hypothesis that these women earn more, on average, than the national average. Show all calculations and hypotheses, as well as writing about the findings in “plain English.”

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