SOLUTION: Repeated random samples of size 36 are drawn from a population (X) with a mean
µ = 10 and a standard deviation σ = 3. Each sample is used to compute a sample
mean X bar = ∑X
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-> SOLUTION: Repeated random samples of size 36 are drawn from a population (X) with a mean
µ = 10 and a standard deviation σ = 3. Each sample is used to compute a sample
mean X bar = ∑X
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Question 1138735: Repeated random samples of size 36 are drawn from a population (X) with a mean
µ = 10 and a standard deviation σ = 3. Each sample is used to compute a sample
mean X bar = ∑X / n .
(a) What is the mean of these sample means, i.e., what is the value of µ xbar ?
(b) What is the standard deviation of these sample means, i.e., what is the value of
σ xbar ?
(c) What is the shape of the distribution of these sample means? Why? Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! (a) The mean of the sample means is the mean of the population which is 10
:
(b) The standard deviation of the samples = 3/square root(36) = 3/6 = 1/2
:
(c) Normal distribution since all the samples are greater than 30
:
