Assignment:
The shelf life of a digital storage device is normally distributed with mean 10 years and standard deviation 2 years. Suppose you are a quality assurance manager and wish to verify this statistic. You choose a sample of 25 storage devices sold in the last 10 years. Supply the following information: Describe the sampling distribution of the sample mean, what is the probability that the sample mean will be greater than 10,t hat the sample mean will be greater than 12, the sample mean will be between 8 and 12, and the probability that the sample mean will be less than 7?
Provide complete and step by step solution for the question and show calculations and use formulas.