Find the Critical Value or Values Of $\chi ^ { 2 }$

question 134

Multiple Choice

Find the critical value or values of $\chi ^ { 2 }$ based on the given information.
- $$\begin{array} { l } \mathrm { H } _ { 1 } : \sigma < 0.14 \\\mathrm { n } = 23 \\\alpha = 0.10\end{array}$$

• A) 14.042
• B) 14.848
• C) 30.813
• D) -30.813

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Definitions:

Standard Error

A statistical measure that describes the accuracy with which a sample represents a population, specifically the variability of the sampling distribution.

Sample Mean

The average of a set of numerical values taken from a subset (sample) of a larger population.

Probability

A measure of the likelihood of a particular event's occurrence, ranging from 0 (impossible) to 1 (certain).

P < 0.05

Indicates that the probability of the observed data, or more extreme, occurring by chance is less than 5%, commonly used to determine statistical significance in hypothesis testing.