   Chapter 3, Problem 13P Statistics for The Behavioral Scie...

10th Edition
Frederick J Gravetter + 1 other
ISBN: 9781305504912

Solutions

Chapter
Section Statistics for The Behavioral Scie...

10th Edition
Frederick J Gravetter + 1 other
ISBN: 9781305504912
Textbook Problem

A sample of n = 7 scores has a mean of M = 16. One score in the sample is changed from X = 6 to X = 20. What is the value for the new sample mean?

To determine

Find the new sample mean when one score in the sample is changed from X=6 to X=20 .

Explanation

When one score in the sample is changed from X=6 to X=20 , the new sum can be calculated by subtracting 6 and adding 20 to the old sum. The mean is the average of scores. To find mean, divide the sum by number of scores in the sample. Therefore:

M= X n                                                      ...Equation (1)

In this problem, we want to find X . So, multiply Equation (1) by n both sides.

M×n= X n × n X =M×n

Given:

n=7 and M=16 . One score in the sample is changed from X=6 to X=20 .

Formula used:

M= X n X =M×n

Calculations:

First find the sum of scores for original data

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