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

Explanation:

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

`\chi^2=((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=((15-1)\cdot 10.5)/(12.6)\\\\=(14\cdot 10.5)/(12.6)=11.6666666667\approx11.667`

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