According to probability theory:
A) 75% of a sample falls within plus or minus one standard error of the population parameter.
B) 90% of a sample falls within plus or minus one standard error of the population parameter.
C) 50% of a sample falls within plus or minus one standard error of the population parameter.
D) 68% of a sample falls within plus or minus one standard error of the population parameter.
E) 58% of a sample falls within plus or minus one standard error of the population parameter.

Question

Quizplus · Accepted Answer

According to the 68-95-99.7 rule in probability theory, approximately 68% of a sample falls within plus or minus one standard deviation of the population parameter. Since the standard error is equal to the standard deviation divided by the square root of the sample size, this means that approximately 68% of a sample falls within plus or minus one standard error of the population parameter. Therefore, choice D is the best answer.

According to Probability Theory