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[solution]: Determine algebraically whether the function f(x) = 5^3sqrt(x) is


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This is a partial table of acceptances for men and women into undergraduate

 

programs for three academic departments at a particular university for the prior

 

year

 


 

For Academic Department A: What is the proportion of all prospective students who ap­

 

plied that were admitted? (the results are rounded slightly)

 

A) 0.62

 

B) 0.89

 

C) 0.64

 

D) 0.51

 

E) 0.47

 

2.

 

Which gender has the higher overall acceptance rate?

 

A) Men

 

B) Women

 

3.

 

Compare the overall rate of acceptance for Men to that of Women. The overall accep­

 

tance rate for Men is __________ times the overall acceptance rate for Women (you

 

are calculating what is normally called a relative risk).

 

A) 0.838

 

B) 0.556

 

C) 0.466

 

D) 1.192

 

4.

 

What is the odds ratio of being accepted when comparing Men to Women?

 

A) 1.432

 

B) 0.838

 

C) 1.192

 

D) 0.698

 


 

5.

 

Which of the Academic Departments had a higher acceptance rate for Women than for

 

Men?

 

A) None of the departments had a higher acceptance rate for Women

 

B) Department A only

 

C) Department B only

 

D) Department C only

 

E) Departments A and B only

 

F) Departments A and C only

 

G) Departments B and C only

 

H) Departments A, B, and C

 

6.

 

Overall the rate of acceptance was higher for Men than Women. However, the opposite

 

was true when you compared the rate of acceptance for each of the academic depart­

 

ments. This is because, far more Women applied to Department C (the department with

 

the lowest acceptance rate) than applied to Departments A and B (which had higher ac­

 

ceptance rates); therefore, the overall rate for Women was misleading due to Simpson?s

 

Paradox.

 

A) True

 

B) False

 


 

 


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