4. Suppose that your company is concerned about whether employees based in New York City work the same amount as employees based in San Francisco. You collect data on hours worked last week by nNY = 6 New York based employees and nSF = 8 San Francisco based employees. These data are available in Excel format on LATTE. New York Office San Francisco Office 41 38 20 45 75 42 60 40 53 35 56 43 42 40 A. Create a 90% confidence interval for the mean hours worked in New York minus mean hours worked in San Francisco. B. Test the null hypothesis that workers in the New York office and workers in the San Francisco office work the same amount against the alternative hypothesis that workers in the New York office work more hours at the a = 5% level. i. Do you reject the null or fail to reject the null hypothesis? ii. What is the p-value for this test? Please provide both a number and a verbal interpretation. C. Comment on the relationship between parts A and B above. D. Can you conclude that working in the New York office causes workers to work more hours? What additional data could you collect to help you answer this