Chapter 4, Problem 16P

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

For the following sample of *n* = 8 scores: 0, 1, 1/2, 0, 3, 1/2, 0, and 1:

**a.**Simplify the arithmetic by first multiplying each score by 2 to obtain a new sample of 0, 2, 1, 0, 6, 1, 0, and 2. Then, compute the mean and standard deviation for the new sample.**b.**Using the values you obtained in part a, what are the values for the mean and standard deviation for the original sample?

**(a)**

To determine

**To Find:** The mean and standard deviation for the new sample.

Explanation

**Given info:**

The original sample scores are

**Calculation:**

The formula for calculating the mean is,

The formula for calculating the standard deviation is,

**New sample scores:**

First, multiply each score by 2, the new sample is 0, 2, 1, 0, 6, 1, 0, and 2.

The mean of the new sample is,

**(b)**

To determine

**To Find:** The mean and standard deviation for original sample.

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