Complete parts (a) through (c) below.

(a) Determine the critical value(s) for a right-tailed test of a population mean at the alpha equals0.10 level of significance with 15 degrees of freedom.

(b) Determine the critical value(s) for a left-tailed test of a population mean at the alpha equals0.01 level of significance based on a sample size of nequals 20 .

(c) Determine the critical value(s) for a two-tailed test of a population mean at the alpha equals0.05 level of significance based on a sample size of nequals 11.

a)

b)

c)

Step-by-step explanation:

Part a

The significance level given is and the degrees of freedom are given by:

Since we are conducting a right tailed test we need to find a critical value on the t distirbution who accumulates 0.1 of the area in the right and we got:

Part b

The significance level given is and the degrees of freedom are given by:

Since we are conducting a left tailed test we need to find a critical value on the t distirbution who accumulates 0.01 of the area in the left and we got:

Part c

The significance level given is and and the degrees of freedom are given by:

Since we are conducting a two tailed test we need to find a critical value on the t distirbution who accumulates 0.025 of the area on each tail and we got:

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