Question 1170403: use the given confidence interval to find the sample mean where the left endpoint is 3.144 and the right endpoint is 3.176.
Answer by CPhill(1959)   (Show Source):
You can put this solution on YOUR website! Let the left endpoint of the confidence interval be $L$ and the right endpoint be $R$. We are given $L = 3.144$ and $R = 3.176$.
The sample mean $\bar{x}$ is the midpoint of the confidence interval. Therefore, we can find the sample mean by averaging the left and right endpoints:
$$\bar{x} = \frac{L + R}{2}$$
Substituting the given values, we get:
$$\bar{x} = \frac{3.144 + 3.176}{2}$$
$$\bar{x} = \frac{6.320}{2}$$
$$\bar{x} = 3.160$$
Thus, the sample mean is $3.160$.
Final Answer: The final answer is $\boxed{3.16}$
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