SOLUTION: Could you please help me to solve this problem? Must show work A sample of 20 elements produced a mean of 58 and a standard deviation of 12. Assuming the population has a nor

Algebra ->  Probability-and-statistics -> SOLUTION: Could you please help me to solve this problem? Must show work A sample of 20 elements produced a mean of 58 and a standard deviation of 12. Assuming the population has a nor      Log On


   



Question 456932: Could you please help me to solve this problem?
Must show work
A sample of 20 elements produced a mean of 58 and a standard deviation of 12. Assuming the population has a normal distribution, find the 90% confidence interval for the population mean.

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
n=20, m=58, s=12
(a, b)=m +- z[a/2] * s/sqrt(n)
(a, b)=58+-1.645*(12/sqrt(20)) The z for .9 confidence level 2 tailed is +-1.645
=58+-4.41
=(62.41, 53.59)
.
Ed