Question
6. Aaliyah is about to graduate from Arcadia. She plans to move to either San Francisco or Denver and search for work. Recent data reports
6.Aaliyah is about to graduate from Arcadia. She plans to move to either San Francisco or Denver and search for work. Recent data reports4that average starting salaries for college graduates are $48,900 in San Francisco and $40,900 in Denver. Suppose these data were based on 100 recent graduates in each city where the population standard deviation is $16,000 in San Francisco and $14,500 in Denver. For social reasons, Aaliyah is also interested in the percent of the population who are in their twenties. The same report states that 20% of the population are in their twenty in San Francisco; the corresponding percentage in Denver is 22%.
a.Conduct a hypothesis test at the 5% significance level to determine whether the average starting salary in San Francisco is greater than Denver's average starting salary.
b.Construct a confidence interval appropriate for the hypothesis test in part (a). Do the results support your findings in part (a)? Explain your thinking.
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