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During the summer months, there is often a long wait to ride a popular roller coaster at the Super Fun Amusement Park.

One summer day, Jamie waited $29\text{ minutes}$ to ride the roller coaster, which is the quartile $1\text{ value}$ for wait times. A few days later Jessie waited $38\text{ minutes}$, which is at the $70^{th}\text{ percentile}$ for wait times. Assuming the distribution of wait times is roughly normal, what is the approximate mean wait time to ride this roller coaster during the summer months?


$27.14\text{ minutes}$


$33.50\text{ minutes}$


$34.06\text{ minutes}$


$36.27\text{ minutes}$


$58.00\text{ minutes}$

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