The inside diameter of a randomly selected piston ring is a random variable with mean value 15 cm and standard deviation 0.05 cm. (a) If X is the sample mean diameter for a random sample of n = 16 rings, where is the sampling distribution of X centered and what is the standard deviation of the X distribution? (Enter your standard deviation to five decimal places.)

The sampling distribution of X is centered at 15cm and the standard deviation of the X distribution is 0.0125cm.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation , the sample means with size n can be approximated to a normal distribution with mean and standard deviation

(a) If X is the sample mean diameter for a random sample of n = 16 rings, where is the sampling distribution of X centered and what is the standard deviation of the X distribution?

Mean:

Standard deviation:

The sampling distribution of X is centered at 15cm and the standard deviation of the X distribution is 0.0125cm.

i cant see the graph

step-by-step explanation: