Find the indicated probability and interpret the result.

From 1975 through 2020, the mean annual gain of the Dow Jones Industrial Average was 651.

A random sample of 34 years is selected from this population. What is the probability that the mean gain for the sample was between 500 and 800

Assume
σ =1541

Question

Part 1
The probability is… ?
(Round to four decimal places as needed.)


Part 2
Interpret the result. Select the correct choice and fill in the answer box to complete your choice.
(Round to two decimal places as needed)

A.
About ............ %
of samples of 46 years will have an annual mean gain between 500 and 800


B.
About
............. % of samples of 34 years will have an annual mean gain between 500 and 800.


C.
About
........... % of samples of 34 years will have an annual mean gain between 651 and 800



D.
About
............ % of samples of 34 years will have an annual mean gain between 500 and 651.