( Give your answers correct to TWO (2) decimal places) In a time and motion study, the amount of time required to paint a 10-foot by 10-foot room is measured for 25 painters. The sample mean is calculated and found to be 72 minutes. If we assume that the population standard deviation is 5 minutes, (a) find the 95% confidence interval estimate of the mean time for all painters to paint a 10-foot by 10-foot room. Answer, the 95% confidence interval estimate of the mean time for all painters to paint a 10-foot by 10-foot room is from 70.04 minutes to 73.96 minutes. (b) find the 97% confidence interval estimate of the mean time for all painters to paint a 10-foot by 10-foot room. Answer. the 97% confidence interval estimate of the mean time for all painters to paint a 10-foot by 10-foot room is from 70.12 minutes to 73.88 minutes