5) If the population standard deviation is 20, then find the standard deviation of x for an SRS of 10 observations. (8p) 6) Product designers often must consider physical characteristics of their target population. For example, the distribution of heights of men aged 20 to 29 years is approximately Normal with mean 69 inches and standard deviation 2.5 inches. Draw a Normal curve on which this mean and standard deviation are correctly located. (Hint: Draw the curve first, locate the points where the curvature changes, then mark the horizontal axis. (8p) You must use Excel functions to find the answers for following questions (questions 7 & 8). 7) The total sleep time per night among college students was approximately Normally distributed with mean u= 6.7 hours and standard deviation o= 1.5 hours. You plan to take an SRS of size n= 225 and compute the average total sleep time. (10p) a. What is the standard deviation for the average time? b. What is the probability that your average will be below 6.9 hours?8) Supplier ontime delivery performance is critical to enabling the buyer's organization to meet its customer service commitments. Therefore, monitoring supplier delivery times is critical. Based on a great deal of historical data, a manufacturer of personal computers nds for one of its justintime suppliers that the delivery times are random and well approximated by the Normal distribution with mean 51.54 minutes and standard deviation 9.4 minutes. (18p) a. What is the probability that a particular delivery will exceed one hour? I). What is the probability that a particular delivery arrives in less than one hour? c. What is the probability that the mean time of ve deliveries will exceed one hour