A normal population Gad a mean of $80 and a standard deviation of $21. You select random samples of nine. a. What is the standard error of the sampling distribution of sample means? ROUND YOUR ANSWER TO 2 DECIMAL PLACES b. What is the probability that a sample mean is greater than $83? ROUND Z VALUE TO 2 DECIMAL PLACES AND FINAL ANSWER TO 4 DECIMAL PLACES c. What is the probability that a sample mean is less than $76? ROUND Z VALUE TO 2 DECIMAL PLACES AND FINAL ANSWER TO 4 DECIMAL PLACES d. What is the probability that a sample mean is between $76 and $83? ROUND Z VALUE TO 2 DECIMAL PLACES AND FINAL ANSWER TO 4 DECIMAL PLACES e. What is the probability that the sampling error would be $9 or more? That is, what is the probability that the estimate of the population mean is less than $71 or more than $89? ROUND Z VALUE TO 2 DECIMAL PLACES AND FINAL ANSWER TO 4 DECIMAL PLACES