SOLUTION: A sample of 64 was taken from a population, with the mean of the sample being 119 and the standard deviation of the sample being 16. What is the 95% confidence interval for the mea

Question 1071281: A sample of 64 was taken from a population, with the mean of the sample being 119 and the standard deviation of the sample being 16. What is the 95% confidence interval for the mean of the population?
Found 2 solutions by Boreal, rothauserc:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
CI half-interval is t(df=63, 0.975)s/sqrt(n)
I will use 2 for t
=2(16)/8=4
So the 95% CI is 119+/-4
(115, 123)
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
The standard error(SE) of the mean is 16 / square root(64) = 2
:
alpha(a) = 1 - (95/100) = 0.05
:
The critical probability (p*): p* = 1 - a/2 = 1 - 0.05/2 = 0.975
:
Use z-table(sample > 40) to find crical value(CV) associated with p*
:
CV = 1.96
:
margin of error(ME) = CV * SE = 1.96 * 2 = 3.92
:
95% confidence interval(CI) = sample statistic + or - ME
:
************************************************
95% CI = 119 + or - 3.92 = (115.08, 122.92)
************************************************
:

RELATED QUESTIONS
Consider an infinite population with a mean of 160 and a standard deviation of 25. A... (answered by stanbon)
consider an infinite population with a mean of 160 and standard deviation of 25,a random... (answered by stanbon)
Determine the mean (μx̅), variance (σ2 x̅), and standard deviation (σx̅). a. (answered by Boreal)
Suppose a random sample of 50 values is taken from a normal population with standard... (answered by ewatrrr,stanbon)
Consider a population with a mean of 25 and a standard deviation of 4. A sample of 100... (answered by math_tutor2020)
Given a population with a mean of 170 and a standard deviation of 12. With a sample of 50 (answered by stanbon)
hi my name is robert and i need help with this question thankyou, A sample of 81 was... (answered by stanbon)
A sample of 81 observations is taken from a normal population with a standard deviation... (answered by ewatrrr)
A random sample is taken from a normally distributed population. The sample has mean 105... (answered by Boreal)