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 31 years is selected from this population. What is the probability that the mean gain for the sample was between 500 and 800​? Assume σ=1540.

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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
31
years is selected from this population. What is the probability that the mean gain for the sample was between
500
and
800​?
Assume
σ=1540.
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