Question

Complete parts ​(a) through ​(c) below.

​(a) Determine the critical​ value(s) for a​ right-tailed test of a population mean at the α=0.01 level of significance with 20 degrees of freedom.

​(b) Determine the critical​ value(s) for a​ left-tailed test of a population mean at the α=0.05 level of significance based on a sample size of n =15

​(c) Determine the critical​ value(s) for a​ two-tailed test of a population mean at the α =0.01 level of significance based on a sample size of n=12

Answer 1

a)

critical​ value(s) for a​ right-tailed test of a population mean at the α=0.01 level of significance with 20 degrees of freedom =  2.5280

b)

critical​ value(s) for a​ left-tailed test of a population mean at the α=0.05 level of significance based on a sample size of n =15

so df = 15-1 = 14

critical value = -1.7613

c)

critical​ value(s) for a​ two-tailed test of a population mean at the α =0.01 level of significance based on a sample size of n=12

df = 12-1 = 11

critical values : 3.1058 and -3.1058

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