Question

If a measured value is reported at both the 25% confidence interval and at the 95% confidence interval, which interval is broader? Explain your answer. you may do so using words, illustrations, or both.

Answer 1

Confidence interval = $\small \mu$$\small \pm$ Z* $\small \sigma/\sqrt{n}$

Middle 25%

2

Middle 95%

2

For 25% confidence level, Z* value is smaller compared to the Z* value of 95% confidence level

As Z* value increases, the margin of error (Z* $\small \sigma/\sqrt{n}$ ) increases. So, the interval is broader for 95% confidence level.