Question

a group of students is conducting a simulation study to estimate the average amount of time their classmates spend walking or biking to school each day. they randomly select 100 students from their school and record the time spent commuting daily. after collecting the data, they find that the mean time spent commuting is 2.5 hours, with a standard deviation of 0.9 hours.

using the formula for calculating the margin of error for a sample mean at a 90% confidence level:
\me_{90\\%} = cv \cdot \frac{s}{\sqrt{n}}\\

what is the margin of error for their estimate of the average daily commuting time?

use the keypad to enter your answer in the box. more symbols can be found using the drop-down arrow in the top-left corner. round your answer to two decimal places.

margin of error:
\me_{90\\%} \approx\\

Explanation:

Identify given values

$$
LATEXBLOCK0
$$

Calculate margin of error

$$
LATEXBLOCK1
$$

Round to two decimal places

$$ ME_{90\%} \approx 0.15 $$

Answer:

Margin of Error:

\(ME_{90\%} \approx\) <blank>0.15</blank>