19. To determine the level of fear of crime on college campuses, a researcher administered a survey to a random sample of 59 college students. The survey yielded a sample mean of 4 on a ten-point scale (the higher the mean, the higher the fear of crime) and a population standard deviation of 1.5. Find the 99% confidence interval for the population mean.

20. A researcher is interested in knowing the average number of times college students have cheated on tests. You take a sample of 13 college students and ask how many times they have cheated on an exam. Calculate a 95% confidence interval for the population mean.

Number of times students cheated: 0, 1, 1, 0, 5, 1, 3, 7, 2, 6, 0, 1, 4 Please show work