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Test scores on a particular exam have a mean of 77 and standard deviation of 5,...

Test scores on a particular exam have a mean of 77 and standard deviation of 5, and that they have a bell-shaped curve. Suppose you take numerous random samples of size 100 from this population. Describe the shape and give the mean and standard deviation of the resulting frequency curve. Explain.

Math   Statistics-And-Probability   
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Answer #1

Let X be the test score

X~ N( 77, 52)

Suppose a random sample of 100 from this population is collected

n=100

Let   be the average of test score of these 100 random sample

Since the parent population is bell shaped. So, will also have a bell shaped and follows normal distribution

Mean of = 77

Standard deviation of = = = 0.5

~ Normal ( 77, 0.5)

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