Note: Answer all the questions in R-Studio. 6. Workplace Homicides A sample of six recent years had an average of 573.8 workplace homicides per year with a standard deviation of 46.8. Find the 99% confidence interval of the true mean of all workplace homicides per year. 7.Days on Dealers' Lots A researcher wishes to see if the mean number of days that a basic, low-price, small automobile sits on a dealer's lot is 29. A sample of 30 automobile dealers has a mean of 30.1 days for basic, low-price, small automobiles. At = 0.05, test the claim that the mean time is greater than 29 days. The standard deviation of the population is 3.8 days. 8. Cost of College Tuition A researcher wishes to test the claim that the average cost of tuition and fees at a four year public college is greater than $5700. She selects a random sample of 36 four-year public colleges and finds the mean to be $5950. The population standard deviation is $659. Is there evidence to support the claim at a =0.05? Use the P-value method. 9. Hospital Infections A medical investigation claims that the average number of infections per week at a hospital in southwestern Pennsylvania is 16.3. A random sample of 10 weeks had a mean number of 17.7 infections. The sample standard deviation is 1.8. Is there enough evidence to reject the investigator's claim at = 0.05? 10. A researcher wishes to see if there is a relationship between the ages and net worth of the wealthiest people in America. The data for a specific year are shown. Person Age x Net wealthy ($ billions) 73 16 65 26 53 50 54 21.5 79 40 69 16 61 19.6 65 19 REBERITE ABCDEFGH a) Draw a scatter plot. b) Compute the correlation coefficient.