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 show that 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. Coach Tao and Mr. Lian each take a random sample of $20$ days from last year and record the daily attendance at their gyms for theses days. Coach Tao's attendance had a mean of $65.67$ and a standard deviation of $7.01$. For Mr. Lian's gym, the average was $61.95$ and the standard deviation was $9.12$. **What is the standardized test statistic for a two sample test for a difference in means in this situation?** *Round your answer to the nearest hundredth.* [[☃ numeric-input 1]]