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 thatμx= 5.4,σx= 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
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