Answer: the value of population standard deviation is 3.87
Step-by-step explanation:
From the information given,
Number of sample, n = 8
For a confidence level of 95%, the corresponding z value is 1.96. This is determined from the normal distribution table.
We will apply the formula
Confidence interval
= mean ± z ×standard deviation/√n
Since confidence interval = 2.694,
It becomes
2.694 = 1.96 × standard deviation/√8
Dividing both sides of the equation by 1.96, it becomes
1.37 = standard deviation/√8
Standard deviation = 1.37 × √8
Standard deviation = 3.87
