A sample of 10 elements from a population with a sample stan

A sample of 10 elements from a population with a sample standard deviation of 60 is selected. The sample means is 150. Find the 90% confidence interval for . Round your answer to three decimal places

Solution

Confidence Interval
CI = x ± t a/2 * (sd/ Sqrt(n))
Where,
x = Mean
sd = Standard Deviation
a = 1 - (Confidence Level/100)
ta/2 = t-table value
CI = Confidence Interval
Mean(x)=150
Standard deviation( sd )=60
Sample Size(n)=10
Confidence Interval = [ 150 ± t a/2 ( 60/ Sqrt ( 10) ) ]
= [ 150 - 1.833 * (18.974) , 150 + 1.833 * (18.974) ]
= [ 115.221,184.779 ]