For each of the following situations, calculate the (z)-statistic ((z)), make a decision about the null hypothesis

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For each of the following situations, calculate the \(z\)-statistic \((z)\), make a decision about the null hypothesis (reject, do not reject), and indicate the level of significance \((p>.05, p<.05, p<.01)\).

a. \(\mathrm{X}^{-}=8.00 ; \mu=16 ; \sigma \mathrm{X}^{-}=4.00\)

b. \(\mathrm{X}^{-}=39.54 ; \mu=34.22 ; \sigma \mathrm{X}^{-}=2.18\)

c. \(\mathrm{X}^{-}=1.19 ; \mu=.92 ; \sigma \mathrm{X}^{-}=.17\)

d. \(X^{-}=56.81 ; \mu=64.45 ; \sigma X^{-}=2.68\)

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