Find the length of the confidence interval given the following data. Example 2: Find the length of the confidence interval given the following data:a. ??= 0.25, ? = 300, ?????????? ?????: 95% b. ??= 0.48, ? = 210, ?????????? ?????: 90%Solution:a. Step 1: Find ?. Since confidence level: 95%, therefore ? = 5% or 0.05Step 2: Find ?2. ?2=0.052=0.025Step 3: Find the difference between 0.5 and 0.025. 0.5 - 0.025 = 0.4750Step 4: Find the equivalent z value of 0.4750 using the z-table.Step 5: Since the equivalent z-value of 0.4750 is 1.96, then the value of ??2= 1.96Step 6: Find the value of E.Step 7: Since LCI = 2E, then LCI = 2(0.049) = 0.098.Therefore, the Length of the Confidence Interval is 0.098.b. Step 1: Find ?. Since confidence level: 90%, therefore ? = 10% or 0.1Step 2: Find ?2.Step 3: Find the difference between 0.5 and 0.05.Step 4: Find the equivalent z value of 0.4500 using the z-table.Step 5: Since there is no area equivalent to 0.4500 in z-table, consider the nearest area, in this case there are two nearest area 0.4495 and 0.4505, consider the highest nearest area. So, the value of ??2= 1.65Step 6: Find the value of E.Step 7: Since LCI = 2E, then LCI = 2(0.057) = 0.114.Therefore, the Length of the Confidence Interval is 0.114.