Math  /  Data & Statistics

QuestionDetermine μx\mu_{\mathrm{x}}^{-}and σx\sigma_{\mathrm{x}}^{-}from the given parameters of the population and sample size. μ=53,σ=6,n=35\mu=53, \sigma=6, n=35 μxˉ=53σxˉ=\begin{array}{l} \mu_{\bar{x}}=53 \\ \sigma_{\bar{x}}=\square \end{array} (Round to three decimal places as needed.)

Studdy Solution
Compute 35\sqrt{35} and then divide 6 by this value to find σxˉ\sigma_{\bar{x}}.
355.916\sqrt{35} \approx 5.916
σxˉ=65.9161.014\sigma_{\bar{x}} = \frac{6}{5.916} \approx 1.014
Round to three decimal places:
σxˉ1.014\sigma_{\bar{x}} \approx 1.014
The standard error of the mean is:
1.014\boxed{1.014}

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