Solve the following problems 1.A sample of n=16 observations is drawn from a normal population with  =1,000 and  =200. Find the following probabilit
{"Image DocumentName": "Solve the following problems", "Image ImageDescription": "A sample of n=16 observations is drawn from a normal population with m=1,000 and s=200. Find the following probabilities: The heights of North American women are normally distributed with a mean of 64 inches and a standard deviation of 2 inches. What is the probability that a randomly selected woman is taller than 66 inches? A random sample of 40 women is selected. What is the probability that the sample mean height is greater than 66 inches? If the population of heights is not normally distributed, would you change your answer to part 2? The manufacturer of cans of salmon claims the average can weight is 6.05 ounces. He further states the actual weight per can is a normal variable with a mean of 6.05 and standard deviation of 0.18 ounces. A random sample of 36 observations is drawn. What is the probability the sample mean weight is less 5.97? If the random sample indeed produced a mean weight less than Comment on the statement made by the manufacturer.", "Image XResolution": "37", "Image YResolution": "37", "Image ResolutionUnit": "Pixels/Centimeter", "Image Software": "SlidePlayer", "Image YCbCrPositioning": "Centered"}