Question

refer to the accompanying data display that results from a simple random sample of times (minutes) between eruptions of the old faithful geyser. the confidence level of 95% was used. complete parts (a) and (b) below tinterval (85.74,91.76) x = 88.75 sx = 8.897431411 n = 36 a. express the confidence interval in the format that uses the \less than\ symbol. round the confidence interval limits given that the original times are all rounded to one decimal place. \square min < \mu < \square min (round to two decimal places as needed.)

Explanation:

Step1: Identify the confidence interval

The given confidence interval from the TInterval is \((85.74, 91.76)\).

Step2: Format with less than symbol

We need to express it as \( \text{lower bound} < \mu < \text{upper bound} \). Rounding the bounds to two decimal places (as they are already to two decimal places in the interval), we use \( 85.74 \) as the lower bound and \( 91.76 \) as the upper bound.

Answer:

\( 85.74 \) min \( < \mu < 91.76 \) min