Assuming that a sample (N = 504)has a sample standard deviation of 2.26,what is the upper bound of a 95% confidence interval if the sample mean is 2.96?
A)2.76
B)2.96
C)3.16
D)5.94

Question

Quizplus · Accepted Answer

To find the upper bound of the 95% confidence interval, we need to use the formula:
Upper bound = sample mean + (z-score * standard error)
where z-score is the value from the standard normal distribution corresponding to a 95% confidence level, which is 1.96.

The standard error is equal to the sample standard deviation divided by the square root of the sample size:
standard error = 2.26 / sqrt(504) = 0.101

Plugging in the values:
Upper bound = 2.96 + (1.96 * 0.101) = 3.16

Therefore, the correct choice is C, 3.16.

Assuming That a Sample (N = 504)has a Sample Standard