Question

What is the critical value for a one sided z-test with an alpha = .02?

What is the critical value for a two tailed z-test with an alpha = .004?

What is the critical value for a one sided t-test with an alpha = .1, and degrees of freedom = 12?

What is the critical value for a two sided t-test with an alpha = .02, and degrees of freedom = 29?

What is the critical value for a two sided t-test with an alpha = .05, and degrees of freedom = 60?

Answer 1

Q1) we want to find the critical value for a one sided z-test with an alpha = 0.02

i.e.

Confidence level

For One tailed test

we get Critical value=Zc=-2.05 .........( By using z table)  .........(ANSWER)

OR By using excel command we can calculate it

=NORMSINV(probability)

=NORMSINV(0.98)

For One tailed test

we get Critical value=Zc=-2.05 .........( By using z table)  .........(ANSWER)

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Q 2) we want to find the critical value for a two tailed z-test with an alpha = .004

i.e.

Confidence level

For two tailed test

we get Critical value =Zc=-2.88 and Zc=2.88 .........( By using z table)  .........(ANSWER)

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Q 3 )  we want to find the critical value for a one sided t-test with an alpha =0 .1, and

Given that degrees of freedom

Confidence level

For One tailed t test

we get Critical value=tc=1.356   .........( By using t table)  .........(ANSWER)

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Q4) critical value for a two sided t-test with an alpha = 0.02, and degrees of freedom = 29

Given that degrees of freedom

Confidence level

For two sided t-test

we get Critical value=tc=-2.462 and tc=2.462 .........( By using t table)  .........(ANSWER)

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Q5) critical value for a two sided t-test with an alpha = 0.05, and degrees of freedom = 60

Given that degrees of freedom

Confidence level

For two sided t-test

we get Critical value=tc=-2.00 and tc=2.00 .........( By using t table)  .........(ANSWER)