2. *3) HUL has thought to aggressively market its products via new
advertisements. To run a pilot test on the impact of the
advertisements, the company has chosen 15 cities and collected
the pre advertisement and post advertisement sales for the
same.
The Brand Manager claims that the impact of the advertisement
have been really successful and boosted the sales of the company
by 50 more than twice the sales.
Test the manager’s claim that the sales have increased 50
more than twice the sales before. Use a 0.05 level of
significance.

3. *
4) The following data refers to the daily output of 2
machines
Machine 1 Machine 2
Production Level Frequency Production Level Frequency
38
40
32
36
35
12
8
15
10
5
17
20
18
13
22
13
4
15
5
10

4. 5)The following data refers to the daily output of 3
machines.
Machine 1 Machine 2 Machine 3
Production
Level
Frequency Production
Level
Frequency Production
Level
Frequency
38
40
32
36
35
12
8
15
10
5
17
20
18
13
22
13
4
15
5
10
15
14
20
21
13
15
8
20
2
3

5. *The Null Hypothesis is:
*H0: µ1= µ2 +µ3 alternatively µ1-( µ2 +µ3)=0
*H1: µ1> µ2 +µ3
*The unbiased estimate for µ1- µ2 -µ3 is x1bar-
x2bar-x3bar.
*The distribution is normal with:
*Mean= µ1- µ2-µ3
*Variance= [(σ1^2)/n1]+ [(σ2^2)/n2]+[ (σ3^2)/n3]
*
*There under H0:
*The value of the statistic is:
*[x1bar-x2bar-x3bar]/variance
*The σ1^2, σ2^2, σ3^2 can be unbiased estimated by
s1^2,s262 & s3^2 respectively