8 squirrels were found to have an average weight of 10.5 ounces with a sample standard deviation is 0.30. Find the 95% confidence interval of the
A) (10.25, 10.75)
B) (9.53, 11.47)
C) (10.23, 10.77)
D) (10.39, 10.61)

Question

Quizplus · Accepted Answer

The 95% confidence interval is given by:x̄ ± z * (s/√n)where x̄ is the sample mean, s is the sample standard deviation, n is the sample size, and z is the z-score corresponding to the desired confidence level.For a 95% confidence level, z = 1.96.Plugging in the values we have:10.5 ± 1.96 * (0.30/√8)= 10.5 ± 1.96 * (0.30/2.83)= 10.5 ± 1.96 * 0.106= 10.5 ± 0.208Therefore, the 95% confidence interval is (10.25, 10.75).

8 Squirrels Were Found to Have an Average Weight of 10.5