Use the formula to calculate the lower and upper limits of the 95% confidence interval for a sample of N = 12 with a mean = 6.00 and standard error of the mean = 1.15.
A) (3.47, 8.53)
B) (3.93, 8.07)
C) (2.43, 9.57)
D) (2.65, 9.35)

Question

Use the formula  to calculate the lower and upper limits of the 95% confidence interval for a sample of N = 12 with a mean  = 6.00 and standard error of the mean  = 1.15.
A) (3.47, 8.53) 
B) (3.93, 8.07) 
C) (2.43, 9.57) 
D) (2.65, 9.35)

Quizplus · Accepted Answer

The lower and upper limits of the 95% confidence interval can be calculated using the formula:

lower limit = sample mean - (1.96 * standard error of the mean)
upper limit = sample mean + (1.96 * standard error of the mean)

Substituting the values given in the formula, we get:

lower limit = 6.00 - (1.96 * 1.15) = 3.47
upper limit = 6.00 + (1.96 * 1.15) = 8.53

Therefore, the correct answer is A.

Use the Formula to Calculate the Lower and Upper