(a) What are the mean and standard deviation of the sampling distribution of X? Describe the shape of the sampling distribution of x. We are given that a random sample of size n-64 is selected from a population with mean μ-80 and standard deviation - 10. First, we are asked to determine the mean and standard deviation of the sampling distribution of the sample mean, x. Recall the general properties of the sampling distribution x. The mean is, and the standard deviation is d. We can use these formulas to make the desired calculations, rounding a result to three decimal places if it is not exact. √n =x J+H 음 √64

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Chapter1: Starting With Matlab
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Suppose that a random sample of size 64 is to be selected from a population with mean 80 and standard deviation 10.
(a) What are the mean and standard deviation of the sampling distribution of X? Describe the shape of the sampling distribution of x.
(b) What is the approximate probability that X will be within 0.6 of the population mean u?
(c) What is the approximate probability that will differ from u by more than 1.8?
Step 1
(a) What are the mean and standard deviation of the sampling distribution of X? Describe the shape of the sampling distribution of x.
We are given that a random sample of size n = 64 is selected from a population with mean u = 80 and standard deviation = 10. First, we are asked to determine the mean and standard deviation of the sampling distribution of the sample mean, X.
. We can use these formulas to make the desired calculations, rounding a result to three decimal places if it is not exact.
√n
Recall the general properties of the sampling distribution X. The mean is μ = μ, and the standard deviation is ox'
plx = μ
0=
vn
√64
Transcribed Image Text:Suppose that a random sample of size 64 is to be selected from a population with mean 80 and standard deviation 10. (a) What are the mean and standard deviation of the sampling distribution of X? Describe the shape of the sampling distribution of x. (b) What is the approximate probability that X will be within 0.6 of the population mean u? (c) What is the approximate probability that will differ from u by more than 1.8? Step 1 (a) What are the mean and standard deviation of the sampling distribution of X? Describe the shape of the sampling distribution of x. We are given that a random sample of size n = 64 is selected from a population with mean u = 80 and standard deviation = 10. First, we are asked to determine the mean and standard deviation of the sampling distribution of the sample mean, X. . We can use these formulas to make the desired calculations, rounding a result to three decimal places if it is not exact. √n Recall the general properties of the sampling distribution X. The mean is μ = μ, and the standard deviation is ox' plx = μ 0= vn √64
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