[SOLVED] A population has a mean of μ = 30 and a standard deviation of σ = 8
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16) A population has a mean of μ = 30 and a standard deviation of σ = 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?
17) For random samples of size n = 25 selected from a normal distribution with a mean of mean of μ = 50 and a standard deviation of σ = 20, find each of the following:
a. The range of sample means that defines the middle 95% of the distribution of sample means. b. The range of sample means that defines the middle 99% of the distribution of sample means.
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