Math Problem Statement

IQ scores: Scores on an IQ test are normally distributed. A sample of 

13

 IQ scores had standard deviation =

s

12

.

(a) Construct a 95

%

 confidence interval for the population standard deviation σ

. Round the answers to at least two decimal places.

(b) The developer of the test claims that the population standard deviation is =

σ

11

. Does this confidence interval contradict this claim? Explain.

Part: 0 / 2

0 of 2 Parts Complete

Part 1 of 2

A 95

%

 confidence interval for the population standard deviation is 

<

<

σ

 

.

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Confidence Intervals
Chi-Square Distribution
Standard Deviation

Formulas

Confidence Interval for Standard Deviation: ( (n - 1)s^2 / χ²_right, (n - 1)s^2 / χ²_left )
Chi-Square distribution critical values

Theorems

Chi-Square Distribution for Confidence Intervals
Properties of Normal Distribution

Suitable Grade Level

College/Advanced High School