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Based on the time recorded for 500 attendees at an amusement park, the average amount of time spent at the park was 6.75 hours with a margin of error of ±1.45 hours. If 2,000 people attended the park on a given day, what is the estimated range of total hours the attendees spent in the park?

A. 2,725 to 5,375 total hours spent in the park
B. 3,842 to 4,893 total hours spent in the park
C. 10,600 to 16,400 total hours spent in the park
D. 13,600 to 19,400 total hours spent in the park

Answer :

Final answer:

The estimated range of total hours the attendees spent in the park is approximately 13,501.45 hours.

Explanation:

To find the estimated range of the total hours the attendees spent at the park, we will multiply the average time spent by the number of attendees and then add and subtract the margin of error.



Given:

Number of attendees = 2,000

Average time spent = 6.75 hours

Margin of error = ±1.45 hours



Estimated range = (Average time spent * Number of attendees) + Margin of error

= (6.75 * 2,000) + 1.45

= 13,500 + 1.45

= 13,501.45



The estimated range of total hours the attendees spent in the park is approximately 13,501.45 hours. Therefore, none of the given options match the correct range.

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