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

question 123

Essay

Find the critical value or values of $\chi ^ { 2 }$ based on the given information.
-For randomly selected adults, IQ scores are normally distributed with a standard deviation of 15. The scores of
14 randomly selected college students are listed below. Use a 0.10 significance level to test the claim that the
standard deviation of IQ scores of college students is less than 15. Round the sample standard deviation to three
decimal places. $$\begin{array} { c c c c c c c } 115 & 128 & 107 & 109 & 116 & 124 & 135 \\127 & 115 & 104 & 118 & 126 & 129 & 133\end{array}$$

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Definitions:

Carbon

A chemical element with symbol C and atomic number 6, essential to all known life forms and the basis of organic chemistry.

Food Web

A complex network of interconnected food chains within an ecological community, illustrating how different organisms are related through what they consume and are consumed by.

Green Plants

Organisms that perform photosynthesis, using sunlight, carbon dioxide, and water to produce oxygen and carbohydrates, playing a crucial role in Earth's ecosystems.

Inverted Energy Pyramid

A reversal of the typical energy flow seen in food chains, where higher trophic levels have greater biomass or energy than the lower levels, typically occurring in aquatic ecosystems.