Chapter 4, Problem 14P

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

**a.** After 3 points have heen aikicd to every score in a sampe, the mean is found to be *M* = 83 and the standard deviation is *s* = 8. What were the values for the mean and standard deviation for the Original sample?

**b.** After every score in a sample has been multiplied by 4, the mean is found to be *M* = 48 and the standard deviation is *s* = 12. What were the values for the mean and standard deviation for the originai sample?

**a.**

To determine

**To find:** The values for the mean and standard deviation for the sample scores, before adding 3 points to each of the sample scores.

Explanation

**Given info:**

The data represents the mean and standard deviation for the sample of after adding 3 points to each of the sample score, .the sample has mean and sample standard deviation are 83 and 8.

**Calculation:**

*New mean:*

If n points subtracted to every score in sample, the value of mean is,

The mean for the original sample of scores is,

**b.**

To determine

**To Find:** The values for the mean and standard deviation for the sample scores, before multiplied 4 points to each of the sample score is

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