Part A- A joint project of the US Census Bureau and the National Science Foundation shows that people with a bachelor's degree who transferred from a community college earn less than those who start at a four-year school (USA Today, March 17, 2009). A University President wants to determine if a similar pattern applies to her University. She believes that the population standard deviation is $4,400 for graduates who transferred from a community college and $1,500 for graduates who started at a four-year school.

Community College Transfer
x- = $52,000
n = 100

Four - Year College
x- = $54,700
n = 100

Run a critical value and p-value test at a 5% significance level to determine whether community college transfer students make less than students starting at a four-year college.

Part B- According to a new Health of Boston report, female residents in Boston have a higher average life expectancy as compared to male residents. You collect the following sample data to verify the results of the report. You also use the historical (population) standard deviation of 8.2 years for females and 8.6 years for males.

Female
x- = 81.1 years
n = 32

Male
x- = 74.8 years
n = 32

Conduct a hypothesis test to determine whether the average life expectancy of female Bostonians is higher than that of male Bostonians. Test at the 10% significance level. Run both a critical value and p-value test.