Question

Based on the time recorded for 500 attendees at an amusement park, the average amount of time spent at the park was 6.25 hours with a margin of error of ±1.45 hours. If 4,000 people attended the park on a given day, what is the estimated range of total hours the attendees spent in the park? 15,400 to 28,600 total hours spent in the park 16,400 to 34,800 total hours spent in the park 17,820 to 23,750 total hours spent in the park 19,200 to 30,800 total hours spent in the park

Answer 1

To find the estimated range of total hours the attendees spent in the park, we can use the formula:

(range) = (average time) ± (margin of error)

Substituting the given values, we get:

(range) = 6.25 ± 1.45

So the range of time spent by each attendee is between 4.8 and 7.7 hours.

To find the estimated range of total hours for 4,000 attendees, we can multiply the range of time spent by each attendee by the total number of attendees:

(total hours) = (range per attendee) × (number of attendees)

Substituting the values, we get:

(total hours) = (4.8 to 7.7) × 4,000

Simplifying the expression, we get:

(total hours) = 19,200 to 30,800

Therefore, the estimated range of total hours the attendees spent in the park is 19,200 to 30,800 total hours spent in the park. Answer: 19,200 to 30,800 total hours spent in the park.