In a large high school of 2500 students, 21% of them are seniors.A simple random sample of 150 students is taken and the proportion of seniors is calculated. What are the mean and standard deviation of the sample proportion? Can we use this to calculate probabilities? (That is does it meet the assumptions of the Central Limit Theorem?)What is the probability that the sample will contain less than 15% seniors? Insert the graph from Rguroo that gives the output for this question.

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Description: In a large high school of 2500 students, 21% of them are seniors.A simple random sample of 150 students is taken and the proportion of seniors is calculated. What are the mean and standard deviation of the sample proportion? Can we use this to calcu

(1) Given , Sample is random, Sample size , n = 150 is les then 10…

Answered: In a large high school of 2500…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

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In a large high school of 2500 students, 21% of them are seniors.

A simple random sample of 150 students is taken and the proportion of seniors is calculated. What are the mean and standard deviation of the sample proportion? Can we use this to calculate probabilities? (That is does it meet the assumptions of the Central Limit Theorem?)
What is the probability that the sample will contain less than 15% seniors? Insert the graph from Rguroo that gives the output for this question.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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