mple with a mean of M=62 and a standard deviation of s= 5 is transformed into a standardized distribution with μ=50 and σ=10. Find the new, standardized score for each of the following values from the original popu
mple with a mean of M=62 and a standard deviation of s= 5 is transformed into a standardized distribution with μ=50 and σ=10. Find the new, standardized score for each of the following values from the original popu
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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A sample with a mean of M=62 and a standard deviation of s= 5 is transformed into a standardized distribution with μ=50 and σ=10. Find the new, standardized score for each of the following values from the original population.
- X=61
- X= 55
- X= 65
- X= 74
Expert Solution
Step 1
The formula of z score is:
Given:
A sample with a mean of M=62 and a standard deviation of s= 5 is transformed into a standardized distribution with μ=50 and σ=10.
1.
Calculate the z score as:
The new standardized score is,
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