Answer: 11.667
Step-by-step explanation:
The formula to find the test statistic for chi-square test is given by :-
[tex]\chi^2=\dfrac{(n-1)\cdot s^2}{\sigma^2}[/tex]
Given : Claim : [tex]\sigma^2=12.6[/tex]
[tex]n = 15\ ;\ s^2 = 10.5[/tex]
Then , the standardized test statistic will be :-
[tex]\chi^2=\dfrac{(15-1)\cdot 10.5}{12.6}\\\\=\dfrac{14\cdot 10.5}{12.6}=11.6666666667\approx11.667[/tex]
Hence, the standardized test statistic [tex]\chi^2=11.667[/tex]
