A.) I need help with my Statistics homework please.
The questions goes as follows:
Find the probability and interpret the results. If? convenient, use technology to find the probability.
The population mean annual salary for environmental compliance specialists is about ?$60,000. A random sample of 41 specialists is drawn from this population. What is the probability that the mean salary of the sample is less than ?$58,000? Assume σ=?$5,700.
The probability that the mean salary of the sample is less than ?$58,000 is ____ ?(Round to four decimal places as? needed.)
B.) Now find the? z-score for the value x=58,000
Substitute the appropriate values into the equation and simplify to find the? z-score.
C.) Use the probability to determine whether or not a sample mean of less than ?$58,000 is an unusual event