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Author Question: SAT verbal scores are normally distributed with a mean of 430 and a standard deviation of 120 (based ... (Read 146 times)

moongchi

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on: Aug 1, 2018
SAT verbal scores are normally distributed with a mean of 430 and a standard deviation of 120 (based on the data from the College Board ATP). If a sample of 15 students is selected randomly, find the probability that the sample mean is above 500.
 
  Does the Central Limit theorem apply for this problem?

Question 2

Choosing 5 people (without replacement) from a group of 32 people, of which 15 are women, keeping track of the number of men chosen.
 
  A) Not binomial: the trials are not independent.
  B) Not binomial: the number of trials is not fixed.
  C) Not binomial: there are more than two outcomes for each trial.
  D) Procedure results in a binomial distribution.


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TDubDCFL

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Reply #1 on: Aug 1, 2018
Answer to Question 1

Yes; even though the sample size is small, the original population is normal and the population SD is known.

Answer to Question 2

A


moongchi

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Reply #2 on: Aug 1, 2018
Thanks


TDubDCFL

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Reply #3 on: Aug 1, 2018
Welcome :)


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