Question

How confident? The figure shows the result of taking $25$SRSs from a Normal population and constructing a confidence interval for the population mean using each sample. Which confidence level—role="math" localid="1654197644211" $80\%,90\%,95\%,\mathrm{or}99\%$—do you think was used? Explain your reasoning.

Short answer

Confidence Level of$80\%$is used.

Step-by-step solution

Given Information

It is given that:

Determining Confidence Level

Calculating Confidence Level

$\frac{21}{25}=0.84$

$84\%$

Red line implies those sample means which have no true population mean.

Hence, $4$samples out of $25$don't have true population. So, $21$sample have true mean.

Closest Confidence Level is$80\%$.