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population of scores forms a normal distribution with a mean of μ = 75 and a standard eviation of σ = 20. For this distribution, please answer the following and show ALL work formulas and math must be written out to earn full credit. a. What proportion of the scores in the population have values less than X = 80? b. If samples of n = 4 are selected from the population, what proportion of the samples will have means less than M = 80? c. If samples of n = 16 are selected from the population, what proportion of the samples will have means less than M = 80?

population of scores forms a normal distribution with a mean of μ = 75 and a standard eviation of σ = 20. For this distribution, please answer the following and show ALL work formulas and math must be written out to earn full credit. a. What proportion of the scores in the population have values less than X = 80? b. If samples of n = 4 are selected from the population, what proportion of the samples will have means less than M = 80? c. If samples of n = 16 are selected from the population, what proportion of the samples will have means less than M = 80?

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 8E
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A population of scores forms a normal distribution with a mean of μ = 75 and a standard deviation of σ = 20. For this distribution, please answer the following and show ALL work - formulas and math must be written out to earn full credit. a. What proportion of the scores in the population have values less than X = 80? b. If samples of n = 4 are selected from the population, what proportion of the samples will have means less than M = 80? c. If samples of n = 16 are selected from the population, what proportion of the samples will have means less than M = 80?
Transcribed Image Text:A population of scores forms a normal distribution with a mean of μ = 75 and a standard deviation of σ = 20. For this distribution, please answer the following and show ALL work - formulas and math must be written out to earn full credit. a. What proportion of the scores in the population have values less than X = 80? b. If samples of n = 4 are selected from the population, what proportion of the samples will have means less than M = 80? c. If samples of n = 16 are selected from the population, what proportion of the samples will have means less than M = 80?
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