A process for making bearings assumes the diameter of a bearing is normally distributed with an unknown mean and unknown standard deviation. However the process is under control if the mean diameter, μ of a bearing is 0.54 cm. A random sample of 10 bearings had a mean of x ¯= 0.553 and a standard deviation of 0.048.)
a) Is the process under control. Explain. b) If σ^2 was known be 0.001, what is the probability that s^2would be equal to ?.048?^2? c) If σ^2 was known be 0.001, what is the probability that s^2would be equal to or less than ?.048?^2? d) If σ^2 was known be 0.001, what is the probability that s^2would be equal to or greater than ?.048?^2?