Mr. Lian claimed in an advertisement that his gym is more popular than his competitor's, Coach Tao. Coach Tao, however, disagrees and wants to use a significance test to see if the average number of people who visit her gym daily is greater than the average number of people who visit Mr. Lian's gym daily.
A random sample of $n=25$ of the $365$ total days in the population was selected from each gym. Boxplots of the number of people who went to each gym for the sample of days from this past year are shown below:
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Coach Tao wants to use a $2$-sample t test for the difference of means.
**Which of the following statements about the conditions for this test are true?**
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