Select True or False from each pull-down menu, depending on whether the correspo
ID: 3363960 • Letter: S
Question
Select True or False from each pull-down menu, depending on whether the corresponding statement is true or false.
? True False 1. As the degrees of freedom increases, the mean of the chi-square distribution increases.
? True False 2. When Finding the p-value of a chi-square test, we always shade the tail areas in both tails.
? True False 3. If you found a chi-square statistic value of = 10 with df = 5, you would fail to reject H0 at the 5% significance level.
? True False 4. As the degrees of freedom increases, the variability of the chi-square distribution decreases.
? True False 5. As the degrees of freedom increases, the shape of the chi-square distribution becomes more skewed.
? True False 6. The chi-square statistic is always positive.
Explanation / Answer
1) True, as the degrees of freedom increases, the mean of the chi-square distribution increases as the mean of the distribution is equal to the number of degrees of freedom and as df increases mean will also increase
2) False, chi square is a one tailed testand will shade right tail ares if we were to use the chi-squared test as a two-sided test, we would also be worried if the statistic were too far into the left side of the chi-squared distribution.
3) True, as value of chi square at df = 5 and chi square = 10 is somehwat between 5% to 10% so p value > significance level so failed to reject
4) False, As the degrees of freedom increases, the variability of the chi-square distribution increases as the variance is equal to two times the number of degrees of freedom: 2 = 2 * v
5) False, As the degrees of freedom increase, the chi-square curve approaches a normal distribution.
6) True, because of the squared value in the numerator
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