Asked by Vince Carrola on May 14, 2024
Verified
When s is used to estimate σ, the margin of error is computed by using the
A) normal distribution.
B) t distribution.
C) mean of the sample.
D) mean of the population.
Margin of Error
Represents the maximum amount by which the sample results are expected to differ from the actual population parameter.
T Distribution
A probability distribution used in statistics for hypothesis testing, especially with small sample sizes or unknown population standard deviations.
- Identify the correct implementation of sample standard deviation for interval estimation when lacking knowledge of the population standard deviation.
Verified Answer
CE
chanel eadesMay 21, 2024
Final Answer :
B
Explanation :
When estimating σ using s, the margin of error should be computed using the t distribution. This is because the t distribution takes into account the uncertainty in the estimation of the population standard deviation using the sample standard deviation. Using the normal distribution or the mean of the sample or population would not account for this uncertainty effectively, leading to inaccurate margin of error.
Learning Objectives
- Identify the correct implementation of sample standard deviation for interval estimation when lacking knowledge of the population standard deviation.
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