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In: Statistics and Probability

Determine the critical values for these tests of a population standard deviation. ​(a) A​ right-tailed test...

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

Solutions

Expert Solution

(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

orchestra answered 1 year ago
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