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Random Variables and Distributions
315
The sampling distribution of the sample mean
\begin{tabular}{|l|l|l|l|l|}
\hline 6 & red, green, red & 6, 5, 6 & & 5.67 \\
\hline 7 & red, red, green & 6, 6, 5 & & 5.67 \\
\hline 8 & red, red, red & 6, 6, 6 & & 6.00 \\
\hline \multicolumn{3}{|c|}{Compute} & Mean: 5.50 & Standard deviation: 0.29 \\
\hline
\end{tabular}
(b) Use the table from part (a) to find \( \mu_{-} \)(the mean of the sampling distribution of the sample mean) and \( \sigma_{-} \)(the standard deviation of the sampling distribution of the sample mean). Write your answers to two decimal places.
\( \square \)
\[
\begin{array}{l}
\mu_{\bar{x}}=\square \\
\sigma_{\bar{x}}=\square
\end{array}
\]
(c) Graph the frequency histograms for the population distribution and the sampling distribution of the sample mean.
Sampling distribution of the sample mean