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Question

Find the zcalc z_{\text {calc }} test statistic for each hypothesis test.

xˉ=8330,μ0=8,344,σ=48,n=36\bar{x}=8330, \mu_0=8,344, \sigma=48, n=36

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Recall: A test statistic measures the difference between a given sample mean x\overline{x} and a benchmark μ0\mu_{0} in terms of the standard error of the mean.

zcalc=xˉμ0σxˉ=xˉμ0σ/nz_{calc}=\frac{\bar x-\mu_{0}}{\sigma_{\bar x}}=\frac{\bar x-\mu_{0}}{\sigma/\sqrt{n}}

(σxˉ=σ/n\sigma_{\bar x}=\sigma/\sqrt{n} is the standard error of the sample mean)

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