3. Construct a 99% confidence interval for the population standard deviation o if a sample of size 1 1 has standard deviation s = 15 (Write the required formula first and show your step) 4. In a test for goodness of fit for the following set of data, the critical value, at a=0.05, was found to be 7.815. Calculate the test value x and make the decision on Ho claiming that there is a "Good Fit" Larceny Property Drug DUI Theft Crimes Use O 38 50 28 44 F 40 40 40 40 O - E S(O-E) E X20 4Part II: work steps must be shown and final answer clearly indicated for any credits. (10 points max for each #). 1. A z- test is made of Ho: u = 55 versus H1: u > 55. A sample of size n = 68 is drawn, and x = 56. The population standard deviation is = 27. Compute the value of the test statistic z. (Write the required formula first and show your steps 2. A study of 55 professors showed that the average time they spent creating test questions was 16.5 minutes per question. The standard deviation of the population is 5.8. Construct the 99% confidence interval for the average number of minutes it takes to create a test question? (Write the required formula first and show your steps) 3