For this assignment, revisit Research Project 1 from Week 4, which consisted of data collected from a random sample of N= 340 certified flight instructors (CFIs). For Questions 1-6, assume the focus is the mean flight time of all U.S. based CFIs. 1. 2. 3. Using a statistical software package, report and interpret the sample mean and sample standard deviation. 4. From your reading assignments, you learned that the standard error of the mean was equal to the standard deviation of the population, O, divided by the square root of the sample size, n: SE = - (population standard deviation known) Vn Because we do not know o we can use the standard deviation of the sample as an approximation for G to determine the standard error of the mean. SE = SD Vn (population standard deviation unknown) Calculate SE to and compare this result to what your statistical software package provides. b. Interpret SE in the context of the given research setting (use the SE provided by your software package). 5. Using a critical value of 1.96 and the standard error you calculated in Question 4, construct the 95% confidence interval for the population mean. a. Compare the 95% CI you constructed to what your statistical software package provides. b. Interpret the 95% CI in the context of the given research setting (use the CI provided by your software package) 6. Examine the shape of the distribution of participants' total flight time. a. What is the shape of this distribution? b. Perform an outlier analysis using Jackknife distances and remove the outliers. Does the shape of the distribution change? c. Compare the SE and 95% CI of this modified distribution where the outliers have been removed to the respective SE and 95% CI of the initial distribution where the outliers were present. Describe the impact the outliers are having on the SE and the 95% CI. Which distribution do you think provides a better estimation of the population's mean flight time? Why