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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

In an extensive study involving thousands of British children. Arden and Plomin (2006) found significantly higher variance in the intelligence scores for males than for females. Following are hypothetical data, similar to the results obtained in the study. Note that the scores are not regular IQ scores but have been standardized so that the entire sample has a mean of M = 10 and a standard deviation of s = 2.

  • a. Calculate the mean and the standard deviation for the sample of n = 8 females and for the sample of n = 8 males.
  • b. Based on the means and the standard deviations, describe the differences in intelligence scores for males and females.
Female Male
9 8
11 10
10 11
13 12
8 6
9 10
11 14
9 9

(a)

To determine

To find: The mean and standard deviation for each group.

Explanation

Given info:

The information is representing the study that involves the thousands of British children. They found in survey that the intelligence scores for males than for females.

Calculation:

The formula for calculating the mean is,

M=xin

The formula for calculating the standard deviation is,

s=SSn1=Σ(xiM)2n1

For females:

The mean for females is,

M=xin=9+11+...+11+98=808=10

Thus, the mean is 10.

The standard deviation for females is,

s=(xM)2n1=(910)2+(1110)2+

(b)

To determine

To find: The differences in intelligence scores for the males and females.

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