Sample Size

Question: Hockey-r-us” a store specializing in sales of hockey equipment, wants to find out the average age of all it’s customers. A random sample25 customers reveals an average age of 38 years, with a standard deviationof six years.
How large of a sample should be constructed to be 90% confident that the samplingerror is one or less?

Mean=M 38 years
Standard deviation =s= 6 years
(sample mean-M )= 1 (to ensure estimate is within 1 of M )
sx=standard error of mean=s/square root of n

z value corresponding to 90% confidence= 1.6449
z=(sample mean-M )/sx= 1.6449 …

Calculates the sample size for a given level of sampling error.