A population of values has a distribution with μ=127.7μ=127.7 and σ=10σ=10. You intend to draw a random sample of size n=103n=103. According to the Central Limit Theorem: (a) What is the mean of the distribution of sample means? μ¯x=μx¯= (b) What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) σ¯x=σx¯= (c) In a random sample of n=103, what is the probability that its sample mean is more than 128.7? Round to three decimal places. (d) In a random sample of n=103, what is the probability that its sample mean is less than 128.5? Give your answer to three decimal places.
A population of values has a distribution with μ=127.7μ=127.7 and σ=10σ=10. You intend to draw a random
According to the Central Limit Theorem:
(a) What is the
μ¯x=μx¯=
(b) What is the standard deviation of the distribution of sample means?
(Report answer accurate to 2 decimal places.)
σ¯x=σx¯=
(c) In a random sample of n=103, what is the
(d) In a random sample of n=103, what is the probability that its sample mean is less than 128.5? Give your answer to three decimal places.
From the given information,
Mean = 127.7
Standard deviation = 10
Sample size = 103
a)
The mean of the distribution of sample means is,
b)
The standard deviation of the distribution of sample means is,
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