Here are the steps to solve this problem: (a) Calculate the mean (x-bar) of the data: 7.34 Calculate the standard deviation (s) of the data: 0.41 The 90% confidence interval is given by: x-bar ± ts/√n Where t is the t-statistic for n-1 degrees of freedom at the 90% confidence level (for n=5, t=2.015) So the 90% confidence interval is: 7.34 ± 2.015(0.41/√5) = 7.34 ± 0.36 (b) Given that σ is believed to be 0.28%, the 90% confidence interval