Solve the Problem. -Suppose You Know That the Distribution of Sample Proportions of Sample

question 85

Multiple Choice

Solve the problem.
-Suppose you know that the distribution of sample proportions of fifth grade students in a large school district who read below grade level in samples of 100 students is normal with a mean of 0.30 and a standard deviation of 0.12. You select a sample of 100 fifth grade students from this district and find that the proportion who read below grade level in the sample is 0.54. This sample proportion lies 2.0 standard deviations above the mean of the sampling distribution. What is the probability that a second sample would be selected with a proportion
Greater than 0.54 ?

• A)0.0228
• B)0.9772
• C)0.0179
• D)0.9821

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Definitions:

Intrinsic Rate

The maximum rate of growth of a population under ideal conditions, reflecting its reproductive potential and sustainability.

Resources

Resources refer to the stock of materials, energy, services, and other assets that can be drawn upon by a person or organization to function effectively.

Growth Capacity

The potential of an entity or environment to expand, increase, or develop further, often measured in terms of productivity or population.

Environment Capacity

The maximum population size of a species that the environment can sustain indefinitely, given the food, habitat, water, and other necessities available in the environment.