SOLUTION: Assume that a sample is used to estimate a population proportion μ. Find the margin of error M.E. that corresponds to a sample of size 18 with a mean of 54.7 and a standard de

Algebra ->  Probability-and-statistics -> SOLUTION: Assume that a sample is used to estimate a population proportion μ. Find the margin of error M.E. that corresponds to a sample of size 18 with a mean of 54.7 and a standard de      Log On


   

Question 982220: Assume that a sample is used to estimate a population proportion μ. Find the margin of error M.E. that corresponds to a sample of size 18 with a mean of 54.7 and a standard deviation of 5.3 at a confidence level of 99.9%.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
x=54.7
s=5.4
SE=s%2Fsqrt%28N%29=5.4%2Fsqrt%2818%29=1.273
ME=t%5Bc%5D%2A1.273
Use the t table with DOF of 17 and alpha=.001,
t%5Bc%5D=-3.646
So,
ME=3.646%2A1.273
ME=4.6
and
mu=54.7+%2B-+4.6