The mean of a simple random sample selected from a populatio

The mean of a simple random sample selected from a population is used to estimate the population mean. Based on statistical inference, please answer the following question.

1)True

2)False

3)Can not be determined

Solution

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)=10
Standard deviation( sd )=3
Sample Size(n)=9
Confidence Interval = [ 10 ± t a/2 ( 3/ Sqrt ( 9) ) ]
= [ 10 - 2.306 * (1) , 10 + 2.306 * (1) ]
= [ 7.694,12.306 ]
the 95% conference interval calculated from this sample includes the value 8

[ANSWER] TRUE