Question

you and your neighbors are conducting a simulation study to estimate the average time teenagers in your town spend visiting community centers each week. you randomly select 110 teenagers and record their weekly visits. after collecting the data, you find that the mean time spent visiting is 3.3 hours, with a standard deviation of 2.0 hours.

using the formula for calculating the margin of error for a sample mean at a 99% confidence level, calculate the margin of error for your estimate of the average weekly time spent visiting community centers.

round off your answer to two decimal places if it is not a whole number, and type it in the space provided.

margin of error:

\\(me_{99\\%} \approx\\) hours

Explanation:

Identify the given parameters

Using the Margin of Error knowledge point

$$
LATEXBLOCK0
$$

Determine the critical value

Using the Confidence Interval Critical Value knowledge point

$$ z^* \approx 2.576 $$

Calculate the margin of error

Using the Margin of Error knowledge point

$$
LATEXBLOCK1
$$

Round to two decimal places

Using the Margin of Error knowledge point

$$ ME \approx 0.49 $$

Answer:

Using the formula for calculating the margin of error for a sample mean at a 99% confidence level, calculate the margin of error for your estimate of the average weekly time spent visiting community centers.

Round off your answer to two decimal places if it is not a whole number, and type it in the space provided.

Margin of Error:
\(ME_{99\%} \approx\) <blank>0.49</blank> hours