Step 1 :Given the confidence interval (1.50,1.96).
Step 2 :The sample mean is calculated as the midpoint of the confidence interval. This is found by adding the lower limit and the upper limit of the confidence interval and dividing by 2. So, \(\frac{1.50 + 1.96}{2} = 1.73\).
Step 3 :The margin of error is calculated as the difference between the upper limit of the confidence interval and the sample mean, or the difference between the sample mean and the lower limit of the confidence interval. So, \(1.96 - 1.73 = 0.23\).
Step 4 :Final Answer: The sample mean is \(\boxed{1.73}\) and the margin of error is \(\boxed{0.23}\).