Answer to Question #40827 in Statistics and Probability for Sue

Question

The diameter of a brand of ping-pong balls is normally distributed with a mean of 1.3 inches. The population standard deviation is known to be 0.08 inches.
a. Compute the standard error of the mean for sample size of n=25 balls.
b. If the sample size in part a. is decreased what will happen to the size of the standard error of the mean?
c. Suppose a random sample of 25 balls is selected. What id the probability the simple random sample will provide a sample mean within 0.02 of the population mean.
d. If the sample size in part c. is increased what will happen to the probability that the sample mean is within the specified range?

Answer 1

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