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
World human population growth through history illustrates an exponential growth pattern.
The bobcat population has seen declines in the American Midwest, but is generally stable and healthy
Population distribution (dispersion)
Population size
Population Forecasting
Construct a Lorenz curve that shows income distribution in this society.