Answer:
95% confidence interval for the population variance is (2.89, 5.11)
Step-by-step explanation:
Confidence Interval (CI) = variance + or - (t×s)/√n
Standard deviation (s) = 2, variance (s^2) = 2^2 = 4, n = 15, degree of freedom = n - 1 = 15 - 1 = 14
t-value corresponding to 14 degrees of freedom and 95% confidence interval is 2.145
Lower bound = variance - (t×s)/√n = 4 - (2.145×2)/√15 = 4 - 1.11 = 2.89
Upper bound = variance + (t×s)/√n = 4 + (2.145×2)/√15 = 4 + 1.11 = 5.11
95% confidence interval is (2.89, 5.11)
