A population has a mean of u = 30 and standard deviation sigma =8 a) if the population distribution is normal, what is the probability of obtaining a sample mean greater than M = 32 for a sample of n= 4? b) if the population distribution is positively skewed what is the probability of obtaining a sample mean greater than M = 32 for a sample of n = 4? c) if the population distribution is normal, what is the probability of obtaining a sample mean greater than M = 32 for a sample of n = 64? d) if the population distribution is positively skewed, what is the probability of obtaining a sample mean greater than M= 32 for a sample of n = 64?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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A population has a mean of u = 30 and standard deviation sigma =8

a) if the population distribution is normal, what is the probability of obtaining a sample mean greater than M = 32 for a sample of n= 4?

b) if the population distribution is positively skewed what is the probability of obtaining a sample mean greater than M = 32 for a sample of n = 4?

c) if the population distribution is normal, what is the probability of obtaining a sample mean greater than M = 32 for a sample of n = 64?

d) if the population distribution is positively skewed, what is the probability of obtaining a sample mean greater than M= 32 for a sample of n = 64?

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