Question 6, 8.1.9
HW Score: $45.45 \%, 5$ of
Part 1 of 2
Points: 0 of 1
Determine $\mu_{\bar{x}}$ and $\sigma_{\bar{x}}$ from the given parameters of the population and sample size.
\[
\mu=80, \sigma=24, n=64
\]
\[
\mu_{\bar{x}}=\square
\]
Answer
Final Answer: $\mu_{\bar{x}} = \boxed{80}$
Step 1 ：Given the parameters of the population and sample size, we are asked to determine the mean of the sample means (denoted as $\mu_{\bar{x}}$) and the standard deviation of the sample means (denoted as $\sigma_{\bar{x}}$).
Step 2 ：The given parameters are: population mean ($\mu$) = 80, population standard deviation ($\sigma$) = 24, and sample size (n) = 64.
Step 3 ：The mean of the sample means is equal to the population mean. Therefore, $\mu_{\bar{x}} = \mu$.
Step 4 ：Substituting the given value of $\mu$ into the equation, we get $\mu_{\bar{x}} = 80$.
Step 5 ：Final Answer: $\mu_{\bar{x}} = \boxed{80}$
