Calculate the probability

If 95% of data from a Normally Distributed data set is within +/- 2 Standard Deviation of the Mean, then calculate the probability of having the sample mean within +/- 2 Standard Deviation of the overall population mean.

OPTIONS

• 0.95
• 0.05
• 0.9938
• 1

ANSWER

0.95

EXPLANATION

It is 95%. As the data is normally distributed and 95% of the data is within +/- 2 sigma level, there is an probability of 95% that the sample mean will fall within this range