Gregg K. answered 10/27/19
Effective Math Tutor Specializing in AP Calculus AB/BC , AP Statistics
You would be right if this was a ztest. This is a 1sample t test since you are using the sample standard deviation. use 37 degrees of freedon.
ans should be .0109. If you need more clarification, please book a session with me. Thanks, Gregg Klein