Mathematics: Xis normally distributed with mean 250 and standard deviation 40. what value of x does only the top 15% exceed?

Xis normally distributed with mean 250 and standard

Ответ:

batmandillon21

13.03.2022

The top 15% (85th percentile) is the cutoff value

such that

$\mathbb P(X\le x)=\mathbb P\left(\dfrac{X-250}{40}\le\dfrac{x-250}{40}\right)=\mathbb P(Z\le z)=0.85$

where

is the corresponding cutoff for the standardized normal distribution. We have $z\approx1.0364$ , and so

$\dfrac{x-250}{40}=z\implies x\approx291.456$

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Ответ:

ratpizza

30.08.2022

Mathematics

Assume that we want 90% confidence that the sample mean is within one-half year of the population mean. Does it seem reasonable to assume that the ages of female statistics students have less variation than ages of females in the general population? The required sample size is . (Round up to the nearest whole number as needed.) Does it seem reasonable to assume that the ages of female statistics students have less variation than ages of females in the general population? A. Yes, because statistics students are typically younger than people in the general population. O B. No, because there is no age difference between the population of statistics students and the general population. O C. No, because statistics students are typically older than people in the general population.

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Xis normally distributed with mean 250 and standard deviation 40. what value of x does only the top 15% exceed?

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