Which of the following statements are true about the percentiles of a chi-squared distribution with 20...
Which of the following statements are true about the percentiles of a chi-squared distribution with 20 degrees of freedom?
The 10th percentile is 12.443
The 5th percentile is 31.410
The 95th percentile is 10.851
The 90th percentile is 37.566
Homework Answers
Answer
we know that when we want to check for 10th percentile, then the alpha level is given as
Similarly
alpha level for 5th percentile is given as 
alpha level for 95th percentile is given as 
alpha level for 90th percentile is given as 
Now, we have degree of freedom 20 and given alpha levels
we have to check df = 20 (row) and alpha value intersection point in the chi-square distribution table
we find
The 10th percentile = 12.443
The 5th percentile is 10.851
The 95th percentile is 31.410
The 90th percentile is 28.412
So, only first option is matching with the correct data value
thus, we can say that only option A or "The 10th percentile is 12.443" is correct statement.
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