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Sagot :
Answer: 6.1
We are 95% confident that the true mean weight of the population is within 6.1 pounds of the sample mean 162.
At the 95% confidence interval, the margin of error for the mean is 6.1 pounds
What is margin error?
The margin of error is "a statistic expressing the amount of random sampling error in the results of a survey".
According to the question,
Number of random samples (n) = 132 residents
Mean of weight of random samples (x⁻)= 162
Standard deviation of random samples (σ)= 35 pounds
In order to find at the 95% confidence interval, the margin of error for the mean.
Margin error = z (σ/√n)
The critical region 95% confidence interval under normal curve is 1.96.
= 1.96 (35/√132)
=1.96(35/11.48)
=1.96(3.0488)
= 5.9708636 ≈ 6.1 pounds
Hence, at the 95% confidence interval, the margin of error for the mean is 6.1 pounds.
Learn more about margin of error here
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