Since we've determined that the Central Limit Theorem applies, let's calculate the probability: Assume that the standardized test scores of a certain group of high school students has an unknown distribution with a mean of 90 percent and a standard deviation of 15 percent. A sample size of n=31 is randomly drawn from a population. Use a calculator to find the probability that the sample mean is between 85 and 92 percent. If needed, round to the nearest hundredth. Provide your answer below:
$\mu_{\overline{x}}=$μx= %
$\sigma_{\overline{x}}=$σx= %
$P\left(85\le\overline{x}\le92\right)=$P(85≤x≤92)=
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