Problem

Noise levels at 3 construction sites were measured in decibels yielding the following data:
\[
153,163,181
\]

Construct the $95 \%$ confidence interval for the mean noise level at such locations. Assume the population is approximately normal.

Step 1 of 4: Calculate the sample mean for the given sample data. Round your answer to one decimal place.

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Answer

\(\boxed{165.7}\) is the sample mean, rounded to one decimal place.

Steps

Step 1 :Add up all the values: \(153 + 163 + 181 = 497\)

Step 2 :Divide by the number of values: \(\frac{497}{3} = 165.67\)

Step 3 :\(\boxed{165.7}\) is the sample mean, rounded to one decimal place.

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