The mean wage per hour for all employees who work at a large company is $25.50 with a standard deviation of $6.75. Let ??̅be the mean wage per hour for a random sample of certain employees selected from this company. Find the mean and standard deviation of ??̅ for the following sample sizes: a) n=12 ??̅ = ??̅ = b) n=30 ??̅ = ??̅ = c) n=100 ??̅ = ??̅ = What happens to the values of ????̅ and ????̅ as the sample size increase?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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2. The mean wage per hour for all employees who work at a large company is $25.50 with a standard deviation of $6.75. Let ??̅be the mean wage per hour for a random sample of certain employees selected from this company. Find the mean and standard deviation of ??̅ for the following sample sizes:

a) n=12

??̅ =

??̅ =

b) n=30

??̅ =

??̅ =

c) n=100

??̅ =

??̅ =

What happens to the values of ????̅ and ????̅ as the sample size increase?

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