Need Help Please! Will rate accordingly. Answers provided, i just need the explanation.

You are measuring the bulk air temperature in a closed-loop benchtop wind tunnel. You take five readings of the temperature and determine the average temperature is 77 C with a standard deviation of 4 C. You report the following information: T = 77 C + 1.8 C (68% confidence level) Q.05 (3x9=27) You decide to improve the precision of your measurements, keeping the same confidence level. Being careful with your technique, you manage to keep constant the sample standard deviation. For each of the samples with N = 10, 15,20 measurements, find: (a) The updated precision. (make sure you write out the complete measurement) (3) (b) The percentage improvement in the precision (3) (c) Is there a significant improvement in the precision with more measurements for each sample? Would you keep adding more measurements? Explain. (3) Answers: (a) N=10: 77C + 1.3.C (68% CI) N=15: 77.C + 1.0.C (68% CI) N=20: 77.C + 0.9C (68% CI) (b ) N=10: ~28% N=15: ~44% N=20:~50%