Multiple Choice
Which of the following accurately describes the critical region in hypothesis testing?
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7. Sampling Distributions & Confidence Intervals: Mean
Introduction to Confidence Intervals
Multiple Choice
Which of the following best describes the main disadvantage of the moving average when used to estimate a population parameter in the context of confidence intervals?
A
It always overestimates the true population mean.
B
It requires knowledge of the population standard deviation .
C
It can only be used for normally distributed data.
D
It does not provide a measure of variability or uncertainty, making it difficult to construct a confidence interval.
Verified step by step guidance1
Understand that a moving average is a technique used to smooth data by averaging subsets of observations, often to identify trends over time.
Recognize that while a moving average can provide an estimate of a central tendency (like a mean), it does not inherently provide information about the variability or spread of the data around that estimate.
Recall that constructing a confidence interval requires not only a point estimate (such as a mean) but also a measure of variability, typically the standard error, which reflects uncertainty in the estimate.
Note that the moving average alone does not give a standard error or any measure of uncertainty, so it cannot be directly used to form confidence intervals without additional calculations or assumptions.
Therefore, the main disadvantage of using a moving average to estimate a population parameter in the context of confidence intervals is that it lacks a measure of variability or uncertainty, which is essential for constructing confidence intervals.
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