Statistics and Probability

Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the z-score of a man 74 inches tall. (to 2 decimal places) 2 For a standard normal distribution, find: P(z 1.65) The time required to assemble a single Play Station 5 is approximately normally distributed with u = 15.94 minutes and o = 1.5 minutes. A random sample of 20 Play Station 5 assembly times is selected. Find the minimum assembly time of the upper 10% of average assembly times. 5 The useful life of a bicycle bought at Basement-mart fits a log normal distribution with a mean of 23 months and a standard deviation of 12.25 months. Suppose that 53 bicycles are randomly chosen, and let X = the average useful life of a bicycle bought at Basement-mart, from a sample of 53 bicycles (in months). X The time required to assemble a single Play Station 5 is approximately normally distributed with u = 16.37 minutes and o = 1.4 minutes. A random sample of 18 Play Station 5 assembly times is selected. Find the minimum assembly time of the upper 10% of average assembly times. 7 If n = 101, a=38, and s = 17, construct a confidence interval at a 90% confidence level. Give your answers to one decimal place. Technology