Suppose that you have a distribution involving a continuous random variable x. Discuss how one would obtain a distribution of sample means for this continuous random variable x. Cast this discussion within the context of an original real-world example (e.g., IQ scores). Discuss how the mean of this distribution of sample means can be used to make informed decisions regarding the population mean. Discuss how the standard deviation of this distribution of sample means can be used to make informed decisions regarding the population standard deviation. As sample size increases, discuss how the shape of the distribution of sample means changes as well as the influence over the mean and standard deviation of this distribution.
Suppose that you have a distribution involving a continuous random variable x. Discuss how one would obtain a distribution of sample means for this continuous random variable x. Cast this discussion within the context of an original real-world example (e.g., IQ scores). Discuss how the mean of this distribution of sample means can be used to make informed decisions regarding the population mean. Discuss how the standard deviation of this distribution of sample means can be used to make informed decisions regarding the population standard deviation. As sample size increases, discuss how the shape of the distribution of sample means changes as well as the influence over the mean and standard deviation of this distribution.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Suppose that you have a distribution involving a continuous random variable x.
- Discuss how one would obtain a distribution of sample means for this continuous random variable x. Cast this discussion within the context of an original real-world example (e.g., IQ scores).
- Discuss how the
mean of this distribution of sample means can be used to make informed decisions regarding the population mean. - Discuss how the standard deviation of this distribution of sample means can be used to make informed decisions regarding the population standard deviation.
- As sample size increases, discuss how the shape of the distribution of sample means changes as well as the influence over the mean and standard deviation of this distribution.
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Step 1: Mention the given data data
VIEWStep 2: Discuss how one would obtain a distribution of sample means for this continuous random variable x.
VIEWStep 3: Explain the informed decision taken about pop. mean using the mean of this dist. of sample means
VIEWStep 4: Explain the informed decision taken about pop. sd using the sd of of this dist. of sample means
VIEWStep 5: Explain the effect of increase in n on the shape of of the distribution of sample means
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