The critical value for the two-tailed test is ± 2.7632
Here it is given that the value of
α = 0.01
n = 29
Hence the critical probability will be (1 - α)/2
= (1-0.01)/2
= 0.99/2
= 0.495
Now since the sample is small, we will have to use t-statistic here.
The degree of freedom = n - 1
= 29 - 1
= 28
Hence looking up the t-value for α = 0.01 for a two-tailed test we get
critical value as ± 2.7632
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Complete Question
Determine the critical values for a two-tailed test of a population mean at the α = 0.01 level of significance based on a sample size of n = 29
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