1)a) Total men=3738+4704
Total men=8442
Total women=1494+2827
Total women=4321b) The percentages in the table above are based on the total number of men or women respectively. The percentages for admissions should be based on the total number of people admitted which is 3738+1494. The total equals 5232.
3738/5232=.7144
1494/5232=.2856
Based on this, there is a gender biased towards males.
c) There is a skew in the number of applications towards males.
d) B and C are not based on the qualifications of the applicants, but the number of applicants.
e)f)g)
Count
Admitted
Denied
A
512+89=601 
313+19=332 
B
313+17=330 
207+8=215 
C
120+202=322 
205+391=596 
D
138+131=269 
279+244=523 
E
53+94=147 
138+299=437 
F
22+24=46 
351+317=668 Percentage
Admitted
Denied
A
601/933=.6442 
332/933=.3558 
B
 330/545=.6055
215/545=.3945 
C
 322/918=.3508
596/918=.6492 
D
 269/792=.3396
523/792=.6604 
E
 147/584=.2517
437/584=.7483 
F
 46/714=.0644
668/714=.9356 
h)
Count
Male
Female
A
825 
108 
B
520 
25 
C
325 
593 
D
417 
375 
E
191 
393 
F
373 
341 Percentage
Male
Female
A
825/933=.8842 
108/933=.1158 
B
 520/545=.9541
25/545=.0459 
C
 325/918=.3540
593/918=.6460 
D
 417/792=.5265
375/792=.4735 
E
 191/584=.3271
393/584=.6729 
F
 373/714=.5224
341/714=.4776 i) The departments that rejected more women had a higher percentage of applicants. That means that there is a little to no gender bias.
2) a) The explanatory variable is herbal tea and the response variable is the degree of cheerfulness and happiness of the subjects.
b) By only doing the nursing home, blocking based on gender has been used.
3) The median doesn’t represent the center of the data because many people come in for a few days for simple procedure and larger hospitals tend to do more complicated and life compromising procedures. Correlation does not equal causation in…