"Determine the critical values for these tests of a population standard deviation.(a) A right

sweetrainyday8s2

sweetrainyday8s2

Answered question

2022-03-02

"Determine the critical values for these tests of a population standard deviation.
(a) A right-tailed test with 18 degrees of freedom at the α=0.01 level of significance
(b) A left-tailed test for a sample of size n= 24 at the α=0.1 level of significance
(c) A two-tailed test for a sample of size n= 26 at the α=0.01 level of significance"
(a) The critical value for this right-tailed test is (Round to three decimal places as needed.)
(b) The critical value for this left-tailed test is ( Round to three decimal places as needed.)
(c) The critical values for this two-tailed test are (Round to three decimal places as needed. Use a comma to separate answers as needed.)

Answer & Explanation

Cheryl Stark

Cheryl Stark

Beginner2022-03-03Added 7 answers

a) The test's right-tailed nature is a given.
There are 18 degrees of freedom.
The significance threshold is 0.01.
Excel's "=CHISQ.INV.RT(0.01,18)" formula is used to get the chi-square test's critical value.
34.805 is the right-tailed critical value.
b) The test is assumed to be left-tailed.
24 people make up the sample.
n-1=24-1=23 is the number of degrees of freedom.
The significance threshold is 0.10.
Excel's "=CHISQ.INV(0.10,23)" formula is used to get the chi-square test's critical value.
14.848 is the left-tailed critical value.
c) The two-tailed nature of the test is a given.
26 people make up the sample.
N-1=26-1=25 is the number of degrees of freedom.
The significance threshold is 0.01.
Excel's "=CHISQ.INV(0.005,25)" formula is used to get the lower critical value for the chi-square test.
Excel's "=CHISQ.INV.RT(0.005,25)" formula is used to get the chi-square test's upper critical value.
The critical values with two tails are (10.520, 46.928).

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