Q. 1.2 - The Practice of Statistics for AP

Question

The length of human pregnancies from conception to birth varies according to a distribution that is approximately Normal with mean $266$days and standard deviation $16$ days.

 What is the mean of the sampling distribution of $\overline{x}$? Explain.

Step-by-Step Solution

Answer

The mean is $266$ .

Step 1: Given Information

Population mean $\left(\mu \right)=266$

Population standard deviation $\left(\sigma \right)=16$

Sample size $\left(n\right)=6$

Step 2: Explanation

The mean of the sampling distribution of $\overline{x}$ is:

$$\begin{gathered} {\mu }_{\overline{x}}=\mu \\ =266 \end{gathered}$$