Chapter 15, Problem 17P

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

Research results suggest that IQ scores for boys are more variable than IQ scores for s girls (Arden & Plomin, 2006). A typical study looking at 10-year-old children classifies participants by gender and by low, average, or high IQ. Following are hypothetical data representing the research results. Do the data indicate a significant difference between the frequency distributions for males and females? Test at the 05 level of significance and describe the difference.

To determine

**To check:** Whether the data indicate a significant difference between the frequency distribution for males and females for the given question.

Explanation

**Given info:**

A sample of 160 students was involved in a study based on “the relation between the gender and the IQ level”. Use

**Calculations:**

Step 1: Null Hypothesis and Alternate Hypothesis are:

Step 2: For the given sample, degrees of freedom equals:

With

Step 3:

The formula to calculate expected frequency is:

Substitute

For the category boys, the expected frequencies are:

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