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iren2701 [21]
3 years ago
14

Based upon extensive data from a national high school educational testing program, the standard deviation of national test score

s for critical reading was found to be 115 points. If a sample of 500 students are given the test, what would be the standard error of the mean? (rounded to the nearest 100th)
Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
6 0

Answer:

The standard error of the mean is 10.11 points

Step-by-step explanation:

Standard error of mean = t×sd/√n

sd = 115 points, n = 500, degree of freedom = n-1 = 500-1 = 499, assuming a 95% confidence level, t-value corresponding to 499 degrees of freedom and 95% confidence level is 1.96501

Standard error of mean = 1.96501×115/√500 = 10.11 points (to the nearest 100th)

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Answer:

\mu = 14.5\\

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Step-by-step explanation:

given that a  statistician uses Chebyshev's Theorem to estimate that at least 15 % of a population lies between the values 9 and 20.

i.e. his findings with respect to probability are

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Recall Chebyshev's inequality that

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Thus from the given information we find that

\mu = 14.5\\\sigma = 5.071\\k = 1.084

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