Author Question: Consider the following discrete population distribution:X2468P(X=x)0.130.340.230.30We randomly draw ... (Read 73 times)

bvyeehaw · **on:** Feb 26, 2023

Question 1

Consider a large population with a mean of 150 and a standard deviation of 27. A random sample of size 36 is taken from this population. What is the standard error of the sampling distribution of the sample mean?

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4.17

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4.50

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5.20

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5.56

Question 2

Consider the following discrete population distribution:

X	2	4	6	8
P(X=x)	0.13	0.34	0.23	0.30

We randomly draw samples of size 5 from this population using the simple random sampling technique. If we know thatμ_x= 5.4,σ_x= 2.069, what are the mean and the standard deviation of the sampling distribution of sample means? Assume the Central Limit Theorem applies.

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μ\(\style{font-family:Times New Roman;}{\overline x}\)= 5.4,σ\(\style{font-family:Times New Roman;}{\overline x}\)= 2.069

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μ\(\style{font-family:Times New Roman;}{\overline x}\)= 1.08,σ\(\style{font-family:Times New Roman;}{\overline x}\)= 0.4138

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μ\(\style{font-family:Times New Roman;}{\overline x}\)= 5.4,σ\(\style{font-family:Times New Roman;}{\overline x}\)= 0.9253

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μ\(\style{font-family:Times New Roman;}{\overline x}\)= 5.4,σ\(\style{font-family:Times New Roman;}{\overline x}\)= 0.4138

lhn821 · **Reply #1 on:** Feb 26, 2023

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