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Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

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Chapter
Section
BuyFindarrow_forward

Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570
Textbook Problem

A sample consists of the following n = 7 scores: 5, 0, 4.5, 1.2, and 4.

  1. a. Compute the mean and standard deviation for the sample.
  2. b. Find the z-score for each score in the sample.
  3. c. Transform the original sample into a new sample with a mean of M = 50 and s=10.

a.

To determine

To find: The mean and standard deviation for the sample.

Explanation

Given info:

The sample scores are 5, 0, 4, 5, 1, 2, and 4.

Calculation:

The formula for calculating the sample mean is,

x¯=xin

The formula for calculating the sample standard deviation is,

s=(xμ)2n1

The sample mean is,

x¯=xin=5+0+4+5+1+2+47=3

The sample standard deviation is,

s=

b.

To determine

To find: The z-score for each score in the sample.

c.

To determine

To find: Transform original sample in to new sample with mean M=50 and standard deviation s=10.

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