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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 population consists of the following N = 5 scores: 0, 6, 4, 3. and 12.

  1. a. Compute μ and σ for the population.
  2. b. Find the z-score for each score in the population.
  3. c. Transform the original population into a new population of N = 5 scores with a mean of μ = 100 and a standard deviation of σ = 20.

a.

To determine

To find: The mean and standard deviation for the population scores.

Explanation

Given Info:

The population consists of the score is, 0, 6, 4, 3, and 12.

Calculation:

The formula for calculating the population mean is,

μ=xiN

The formula for calculating the population standard deviation is,

σ=(xμ)2N

The population mean is,

μ=xiN=0+6 +4+3+12

b.

To determine

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

c.

To determine

To find: Transform original population in to new population with mean μ=100 and standard deviation σ=20.

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