From 1921 through 2020, the mean return of the Standard & Poor's 500 was (12.59 %). A

Question:

From 1921 through 2020, the mean return of the Standard \& Poor's 500 was $12.59 \%$. A random sample of 38 years is selected from this population. What is the probability that the mean return for the sample was between $10.0 \%$ and $11.0 \%$ ? Assume $\sigma=19.58 \%$.

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