A 90% Confidence Interval Estimate of the Population Mean $\mu$ Can Be Interpreted to Mean That

question 61

Short Answer

A 90% confidence interval estimate of the population mean $\mu$ can be interpreted to mean that: $\begin{array}{|l|l|}\hline A&\text {if we repeatedly draw samples of the same size from the same population, \( 90 \% \) of the }\\&\text { values of the sample means \( \bar{x} \) will result in a}\\&\text { confidence interval that includes the population mean.}\\\hline B&\text { there is a \( 90 \% \) probability that the population mean will lie between the lower confidence}\\&\text { limit (LCL) and the upper confidence limit (UCL). }\\\hline C&\text {we are \( 90 \% \) confident that we have selected a sample whose range of values does }\\&\text {not contain the population mean. }\\\hline D&\text { We are \( 90 \% \) confident that \( 10 \% \) the values of the sample means \( \bar{x} \) will result in a }\\&\text {confidence interval that includes the population mean. }\\\hline \end{array}$

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Definitions:

Similarity

The state of being alike or sharing common features, used in various contexts to describe resemblance or equivalence between entities.

Closure

The psychological need to seek resolution and a sense of completeness or finality in our perceptions and relationships.

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