Determine the critical values of the test statistic for each

Determine the critical value(s) of the test statistic for each of Large sample case: Left tailed test, alpha= 0.01 Large sample case: Two tailed test, alpha = 0.1 Small sample case: Two tailed test, alpha = 0.05, n =20.

Solution

A)

Here, we use z, as the sample is large. Hence, at alpha = 0.01, left tailed, by table/technology,

zcrit = -2.326347874 [ANSWER]

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b)

Here, we use z, as the sample is large. Hence, at alpha = 0.1, two tailed, by table/technology,

zcrit = +/- 1.644853627 [ANSWER]

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C)

Here, we use t, as the sample is small. Hence, at alpha = 0.05, two tailed, df = n - 1 = 19, by table/technology,

tcrit = +/- 2.093024054 [ANSWER]