L7.1 Exercises Exercise 6. Refer back to Exercise 5. Suppose that a SRS(25,) was taken from the population 3. Let E be the sample average height of the 25. It turns out that the process distribution dis: SRS(25,B)) is Normal with mean equal to the population mean and standard deviation equal to the population standard deviation divided by the square root of the sample size. (a) We can speak of the process distribution of so there must be a random experiment lurking somewhere. Identify this random experiment. (b) E ~ N(? ,7). Give the numerical values that should replace the question marks. (c) What are the chances that the average height of the 25 will be greater than 71 inches? (d) What is HE > 71)? (e) Would you be surprised if the sample average height turned out to be greater than 73 inches? Explain your answer. (1') Compute the process mean of E. (g) Compute the process standard deviation of E. (h) Compute the 35th percentile of the process (aka probability) distribution of E. 44