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. \(\mathrm{X}^{-}=40.00 ; \mu=30 ; \sigma \mathrm{X}^{-}=10.00\)

b. \(\mathrm{X}^{-}=3.70 ; \mu=3.46 ; \sigma \mathrm{X}^{-}=.14\)

c. \(X^{-}=19.23 ; \mu=15.01 ; \sigma X^{-}=1.47\)

d. \(X^{-}=132.65 ; \mu=154.90 ; \sigma X^{-}=11.79\)

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