Confidence Interval for the mean- Need Help

Question

Assume that a sample is used to estimate a population mean . Find the 95% confidence interval for a sample of size 36 with a mean of 19.3 and a standard deviation of 10.7. Enter your answer accurate to one decimal place.I am 95% confident that the mean  is between _______  and ________.

Answer 1

Let n = 36, μ = 19.3, σ = 10.7, and z = 1.96 (since the confident level is 95%).

We will set up the confidence interval for the true population mean.

[19.3 ± 1.96*(10.7/√36)] = [15.8 , 22.8]

We are 95% confident that the true population mean is between 15.8 and 22.8.