For each of the following, calculate the degrees of freedom ((d f)) and identify the critical value

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For each of the following, calculate the degrees of freedom \((d f)\) and identify the critical value of \(r\).

a. \(\quad N=21, \alpha=.05\) (two-tailed)

b. \(N=40, \alpha=.05\) (two-tailed)

c. \(N=12, \alpha=.05\) (one-tailed)

d. \(N=120, \alpha=.05\) (one-tailed)

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