What is a central limit theorem


Discuss the below:

Q: How do I know which distribution to use for the following and when/where do tables apply?

Nonstandard Normal

Binomial

Normal

Standard normal

Central limit theorem

a) Mean is 0, stand. dev. is 0 degrees C., find P between 0.05 and 1.50

b)Mean is 63.6 and s.d. is 2.5; Club had requirement that women must be 70 inches tall-what % meets that?

c)Find the P35 separating top 35 from bottom 65% with mean = 143 and sd. of 29

d) Mean = 143, sd = 13; if 1 woamn randomly selected, find P weight between 143 and 150

e) If 100 women randomly selected, find P they have a mean weight greater than 140 pounds.

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