SOLUTION: A random sample of size 34 is to be selected from a population that has a mean μ = 45 and a standard deviation σ of 17.
(a) This sample of 34 has a mean value of x, whi
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-> SOLUTION: A random sample of size 34 is to be selected from a population that has a mean μ = 45 and a standard deviation σ of 17.
(a) This sample of 34 has a mean value of x, whi
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Question 722652: A random sample of size 34 is to be selected from a population that has a mean μ = 45 and a standard deviation σ of 17.
(a) This sample of 34 has a mean value of x, which belongs to a sampling distribution. Find the shape of this sampling distribution.
skewed right
approximately normal
skewed left
chi-square
(b) Find the mean of this sampling distribution. (Give your answer correct to nearest whole number.)
2
(c) Find the standard error of this sampling distribution. (Give your answer correct to two decimal places.)
3
(d) What is the probability that this sample mean will be between 40 and 50? (Give your answer correct to four decimal places.)
4
(e) What is the probability that the sample mean will have a value greater than 53? (Give your answer correct to four decimal places.)
5
(f) What is the probability that the sample mean will be within 3 units of the mean? (Give your answer correct to four decimal places.)
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