Instructions: 1. Use the space between two questions to compute for answers. 2. Show all necessary steps to get to an answer. Only writing answer(s) is not sufficient as I want to see how you have solved a given problem. 3. Submit in Word format. If it is convenient for you, you may use EXECL but not necessary. 4. For full credit, you must include all steps necessary to get the answer.

Q3) In order to ensure efficient usage of a server, it is necessary to estimate the mean number of concurrent users. According to records, the sample mean and sample standard deviation of number of concurrent users at 100 randomly selected times is 37.7 and 9.2, respectively. a) Construct a 90% confidence interval for the mean number of concurrent users. b) Do these data provide significant evidence, at a 1% significance level (99% confidence), that the mean number of concurrent users is greater than 35? Compute n.