Question: A normal population has a mean of $78 and standard deviation of $19. You select random samples of nine.

d. What is the probability that a sample mean is less than $74? (Round z-value to 2 decimal places and final answer to 4 decimal places.) Probability e. What is the probability that a sample mean is between $74 and $81? (Round z-value to 2 decimal places and final answer to 4 decimal places.) Probability f. What is the probability that the sampling error (2 - /) would be $9 or more? That is, what is the probability that the estimate of the population mean is less than $69 or more than $87? (Round z-value to 2 decimal places and final answer to 4 decimal places.)