Answer:
between 147.7cm------183.7cm
Explanation:
To answer this question, it is important to know that middle 95% of population is within 2 standard deviation. In this case standard deviation is 9cm, therefore 2 standard deviation would be 18cm.
Now we have to work with the mean and 2 standard deviation in order to find minimum of middle 95% and maximum of middle 95%. In order to do that we have to subtract 18cm from 165.7cm (to find the minimum) and add 18cm to 165.7cm (to find the maximum)
165.7cm-18cm=147.7cm(minimum)
165.7cm+18cm=183.7cm(maximum)
Overall, the middle 95% would be between 147.7cm and 183.7cm
hope it helped, let me know if you have any questions, I'll be happy to answer.