Perform the Required Chi-Square Hypothesis Test $0.10$ Significance Level to Test the Claim That the Standard Deviation

question 14

Essay

Perform the required chi-square hypothesis test. Preliminary data analyses and other information indicate that it isreasonable to assume that the variable under consideration is normally distributed. Use the critical-value approach or theP-value approach as indicated.
-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. Use the P-value approach. (Note: $\mathrm { s } = 9.819$ ) $\begin{array} { l l l l l l l } 115 & 128 & 107 & 109 & 116 & 124 & 135 \\ 127 & 115 & 104 & 118 & 126 & 129 & 133 \end{array}$

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Definitions:

Cones

Photoreceptor cells in the retina of the eye that are responsible for color vision and function best in relatively bright light.

Vision

the ability to see; the faculty of sight.

Color

The characteristic of visual perception described through hues, such as red, blue, and yellow, determined by the spectrum of light.

Lens

A transparent optical device used to converge or diverge transmitted light and to form images.