Question

This Question: 1 pt 2 of 10 (0 complete) Construct the confidence interval for the population mean. C=0.90, X = 8.3, 0 = 0.3, and n=58 A 90% confidence interval for u is ( CD(Round to two decimal places as needed.)

Answer 1

Answer : The 90% confidence interval for mu is

(8.24,8.37)

The detailed solution is given in the attached file.Hope this helps

We need to construct the 90% confidence interval for the population mean p. The following information is provided: Sample Mean X = 8.3 Population Standard Deviation (0) = 0.3 Sample Size (N) - 58 = The critical value for a = 0.1 is ze = 21-a/2 1.645. The corresponding confidence interval is computed as shown below: CI X - Zc x X + zc x Vn pan vn 0.3 = 8.3 – 1.645 58 0.3 8.3 +1.645 V58 = (8.235, 8.365) Therefore, based on the data provided, the 90% confidence interval for the population mean is 8.235 < 4 < 8.365, which indicates that we are 90% confident that the true population mean u is contained by the interval (8.235, 8.365)