Business Analytics-I.xlsx - FORE School of Management, New...

FORE School of Management, New Delhi
Post Graduate Diploma in Management (FMG 29/IMG 14 /FM 03/BDA-01/FPM
RE-End Term Examination Term- 1* (2020-2021)
Time: 2 *Hours Max Marks: 100
Instructions: a.
(including instruction
b. Possession and use of cell phone is prohibited
c. Be brief and to the point in the response
d. State assumptions made, if any
e.
Answer all questions
f.
Marks are indicated in the right hand parenthesis against each question.
Course Name Business Analytics-I
This question paper contains 9 Sheets

ns, formulas and marks)

2
2
2
FORMULAS
x-
1) test for a single mean z =
/ n
x-
2) test for a single mean t = , df = n-1
/ n
ˆ
3) test for a single proportion z =
PQ
n
(n-1)s
4) test for single variance , df = n-1
5) test
s
p P







 
 
   
0
0
1 2 1 2
2 2
1 2
1 2
1 2 1 2
1
2 2
1 1 2 2
1 2 1 2
for the difference in two independent sample means
x -x ) (
z =
6) test for the difference in two independent sample means
x -x ) (
t = , df =
1 1
1 1
2
H
H
n n
n
s n s n
n n n n
 
 
 
 

 

  

 
   
 
0
2
d
1 2 1 2
1 1 2 2
1 2
1 2
2
7) test for the difference in two related sample means
d-D
t = , df = n-1
s /
8) test for the difference in two sample proportions
ˆ ˆ
ˆ ˆ
z = where p =
1 1
pq
9) t
H
n
n
p p P P
n p n p
n n
n n

  


 

 
 
 
 
 
 
2
1
1 2
2
2
2
b
2
w
2
j j
2
b
2
j j
2
w T
T
est for two population variances
F = , df = -1, -1
10) ANOVA F = , df = k-1, where k = no. of sample
n x x
= , where x = grand mean
k-1
n -1 s
= ,where n = total obser
n -k
s
n n
s
n k








vations

es
/ 2 / 2 T
i j
Quick Confidence interval to estimate conditional mean of Y
ˆy
2
Quick Prediction interval to estimate individual y for a given value of x
ˆy
2
1 1
HSD = t MSE , t is based on n -k df
n n
e
e
s
n
s
 


 

 
 
 
 
 
   
2
0 2 2
2
0 2 2
11) goodness of fit, , df = k-1-c
12) test of independence, , df = r-1 1
e
e
e
e
f f
f
f f
c
f
 
 



 

