Explore BrainMass

# Ststistics: Normal Distribution

Not what you're looking for? Search our solutions OR ask your own Custom question.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

*Please see attachment for case study.

Questions:

(a) What are the observational units and variable units of interest in this study? Also specify the population or process of interest.

(b) State and null and an alternative hypothesis about the value of pi (in words and symbols)

(c) We can assess the strength of evidence against the null hypothesis by treating 897 current athletes as a random sample from the process of athlete determination at Brown. If we initially give the university the benefit of the doubt and assume the nully hypothesis is true, does the Central Limit Theorem for a sample proportion apply here? Explain.

© BrainMass Inc. brainmass.com October 2, 2022, 6:40 pm ad1c9bdddf
https://brainmass.com/statistics/normal-distribution/statistics-normal-distribution-29063

## SOLUTION This solution is FREE courtesy of BrainMass!

a) Observational units:the 897 student
Population of interest:undergrad women
unknown param of interest:proportion of undergrad women

b)Ho: π=.51
Ha: π not =.51

c)If we assume that π=.51 , and suppose that the CLT apply here
then the mean of the sample proportion should be π and the standard deviation should be sqrt( π(1- π)) .Replacing π with .51 we get that
the saple proportion has mean .51 and standard deviation = .4998
But the proportion of the sample is .38 which falls within one standard deviation of the mean.
So we can apply CLT

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

© BrainMass Inc. brainmass.com October 2, 2022, 6:40 pm ad1c9bdddf>
https://brainmass.com/statistics/normal-distribution/statistics-normal-distribution-29063