In: Statistics and Probability
Determine the critical values for these tests of a population standard deviation. (a) A right-tailed test with 17 degrees of freedom at the α equals = 0.1 level of significance (b) A left-tailed test for a sample of size n equals = 28 at the alpha α = 0.01 level of significance (c) A two-tailed test for a sample of size n = 22 at the alpha α = 0.1 level of significance
(a)
Right tailed test
Degrees of freedom = 17
= 0.1
Critical value :
(b)
A left-tailed test
sample of size n = 28
Degrees of freedom = n-1 =27
= 0.01
Critical value
(c) A two-tailed test for a sample of size n = 22 at the alpha = 0.1 level of significance
Degrees of freedom = n-1 =22-1=21
For two tailed test :
Critical values are :
= 0.1
/2 = 0.1/2 = 0.05