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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. = 70 and a standard deviation of σ = 5.

  • a. If 10 points were added to every score in the population, what would be the new values for the population mean and standard deviation?
  • b. If every score in the population were multiplied by 2, what would be the new values for the population mean and standard deviation?

(a)

To determine

To Find: Thenew values for the population mean and standard deviation, when the 10 points were added to every score in the population.

Explanation

Given info:

The population has mean μ=70 and standard deviation σ=5.

Calculation:

If n points added to every score in population, the value of meanis,

Population mean = μ+n

If n points added to every score in population, the value of standard deviationis,

SD=σ+n=σ

That is, standard deviation will remain same

(b)

To determine

To Find: Thenew values for the mean and standard deviation, when the 2 points were multiplied by every score in the population.

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