Business Analytics

BUSINESS ANALYTICS

TABLE OF CONTENTS
Question 1........................................................................................................................................1
1.1 Hypothesis.............................................................................................................................1
1.2 Sample standard deviation for two interfaces.......................................................................1
1.3 Test statistic and its value.....................................................................................................1
1.4 Critical region.......................................................................................................................1
1.5 Standard error of test statistic................................................................................................2
1.6 Conclusion of test..................................................................................................................2
Q2.....................................................................................................................................................2
Integer linear model....................................................................................................................2
Q3.....................................................................................................................................................3
3.a................................................................................................................................................3
3.b................................................................................................................................................4
3.c................................................................................................................................................6
3.d................................................................................................................................................7
3.e................................................................................................................................................9
3f...............................................................................................................................................10
3g...............................................................................................................................................12
3h...............................................................................................................................................13
(4)...................................................................................................................................................14
REFERENCES..............................................................................................................................15

Question 1
1.1 Hypothesis
H0: There is no significant difference between email interface 1 and 2.
H1: There is significant difference between email interface 1 and 2.
1.2 Sample standard deviation for two interfaces
Sample standard deviation for two interfaces are 0.29 for email interface 1 and 0.35 for
email interface 2.
1.3 Test statistic and its value
T test is the statistic tool that is used to explore significant difference between email
interface 1 and 2. Value of level of significance is 0.00<0.05 which reflect that there is
significant difference between both interface in terms of performance.
1.4 Critical region
5% is the critical region value depicted in the above graph.
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1.5 Standard error of test statistic
Standard error of test statistic is 0.06 which is low. Standard error is the approximate
standard deviation of a statistical sample population (Bressan and et.al., 2016). It is the statistical
term which measure accuracy with which sample distribution represent a population by using a
standard deviation.
1.6 Conclusion of test
On the basis of above discussion, it is concluded that both email interface are completely
generating different results and firm can choose best one out of these alternatives so that less
time can be taken to update message that need to be send to the customer.
Q2
Integer linear model
Max = 7X1+10X2+9X3+3X4+8X5+6X6+8X7
Constraints
4Y1+5Y2+17Y3+10Y4+7Y5+5Y6 = >48
In the linear model given above it can be observed that two equations are prepared. In the first
equation profit maximization it the main objective and due to this reason, each project fixed net
profit is taken in to account. In the first equation.
X1 = Project 1
X2 = Project 2
X3 = Project 3
X4= Project 4
X5= Project 5
X6= Project 6
X7= Project 7
On constraint side main focus is to keep fixed cost as it is in total value but main emphasis is on
picking few projects out of all alternatives. Thus, all cost will be incurred within determined
level. Cost in few projects will be nil so that maximum gain can be made on the project that is
already profitable in nature.
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