Question

QUESTION 1 Provide an appropriate response. Compute the standardized test statistic, X 2 , to test the claim σ 2 ≥ 12.6 if n = 15, s 2 = 10.5 , and 12.823 11.667 8.713 23.891 20 points

Answer 1

Answer: 11.667

Step-by-step explanation:

The formula to find the test statistic for chi-square test is given by :-

$\chi^2=\dfrac{(n-1)\cdot s^2}{\sigma^2}$

Given : Claim : $\sigma^2=12.6$

$n = 15\ ;\ s^2 = 10.5$

Then , the standardized test statistic will be :-

$\chi^2=\dfrac{(15-1)\cdot 10.5}{12.6}\\\\=\dfrac{14\cdot 10.5}{12.6}=11.6666666667\approx11.667$

Hence, the standardized test statistic $\chi^2=11.667$