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Essentials of Statistics for the B...

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

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BuyFindarrow_forward

Essentials of Statistics for the B...

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

A population has a mean of μ = 30 and a standard deviation of σ = 5.

  1. a. If 5 points were added to every score in the population, what would be the new values for the mean and standard deviation?
  2. b. If every score in the population were multiplied by 3, what would he the new values for the mean and standard deviation?

a.

To determine

To find: The new values for the mean and standard deviation for the population scores, adding 5 points to each of the population scores.

Explanation

Given info:

The data represents the mean and standard deviation for the population .the population has mean and population standard deviation are 30, 5.

Calculation:

New mean:

If n points added to every score in population, the new value for mean is,

μ=E(X+n)=E(X)+E(n)=E(X)+n

The new mean for the population of scores is,

μ=E(X+5)=E(X)+E(

b.

To determine

To find: The new values for the mean and standard deviation for the population scores, multiplied 3 points to each of the population scores.

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