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 true mean weight.
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 correct answer is A because the 95% confidence interval is (10.25, 10.75). This is calculated using the formula: CI = x̄ ± z * (s/√n), where x̄ is the sample mean, z is the z-score for the desired confidence level, s is the sample standard deviation, and n is the sample size. In this case, x̄ = 10.5, z = 1.96 (for a 95% confidence level), s = 0.30, and n = 8. Plugging these values into the formula, we get CI = 10.5 ± 1.96 * (0.30/√8) = (10.25, 10.75).

8 Squirrels Were Found to Have an Average Weight of 10.5