Answer to Question #16213 in Statistics and Probability for Vanessa

Question

The diameter of Ping-Pong balls manufactured at a large factory is approximately
Normally distributed with a population mean of μ = 1.3 inches and a standard deviation of σ = .04 inches. If the quality control department selects several random samples of

N = 16 Ping-Pong balls:

a. Compute the standard error of the mean.



b. What percentage of the sample means will be less than 1.28 inches?



c. What percentage of the sample means will be between 1.28 and 1.32 inches?


d. Which is more likely to occur – an individual ball between 1.28 and 1.32 inches or a sample mean between 1.28 and 1.32 inches. Explain your reasoning.