QA International Certification LimitedQuality Assurance International Certification Limited (QAICL) is a certification body providing the services of consultancy and certification of different standards to the companies. It is basically a UK based company and delivers its services worldwide through a network of representative offices.In Pakistan it have its representative office in Sialkot. Company Address:Ist Floor, Shahab Center, Opp. S.I.E, Sialkot Pakistan. Company Products:Its main products for consultancies and certification are ISO 9001 ISO 13485 HACCP ISO 14000 CE Mark etc.Contact Person:Mr. Shahzad Shoukat ( Company Representative)Cell no: 03009614339

Dynamex Certification ServicesDynamex Certification Services (DCS) is a certification body providing the services of certification of different standards to the companies. It is basically an Austrian based company and is trying to spread worldwide through its representative offices.In Pakistan it has its representative office in Sialkot. Company Address:Iqbal Town, Defence Road, Sialkot- Pakistan. Company Products:Its main products for certifications are: ISO 9001 ISO 13485 HACCP ISO 14000 CE Mark etc.Contact Person:Miss Sadia Tufail ( Company Representative)Cell no: 03349887335

QA International Certification LimitedSr. noMonthsX1=Sales

1January(2008)207840

2February200350

3March201330

4April206690

5May205520

6June200250

7July200950

8August207850

9September175600

10October185550

11November198650

12December200080

13January(2009)207840

14February210350

15March201530

16April216790

17May215720

18June210280

19July205950

20August207850

21September275600

22October285550

23November198650

24December205080

25January(2010)205550

26February200850

27March270600

28April285550

29May197650

30June215580

31July319980

32August288890

33September191200

34October238750

35November298440

36December300650

37January (2011)178540

38February239800

39March287500

40April359900

41May239800

42June257680

43July310000

44August290000

45September295000

46October345070

47November238700

48December316570

49January (2012)328000

50February319800

QA International is a UK based company. It has its representative office in Sialkot, Pakistan. The overall monthly sales of company at Pakistan are 257500. I want to check that the sales of the Company at Pakistan are not 257500. I have collected the data of 50 months from January 2008 to February 2012. The sales of QAI are mentioned in the above table.

n = 50

Mean of sales of QAI

Standard Deviation of sales of QAI

Testing of HypothesisI will test the hypothesis that the average monthly sales of QAI are not 257500.1. Null and Alternative Hypothesis

(Two tailed test)2. Level of Significance

Level of significance = 5 %

3. Test Statistics

4. Critical Region

5. Calculations

6. Results

As my calculated value of t = -2.300907 is greater than the table value which is 2.010 so it lies in rejection region because of which I will reject and accept.Finally, I Conclude that the average monthly sales of QAI are not 257500.

Dynamex Certification ServicesSr.noMonthsSales

1January(2008)17840

2February90350

3March180030

4April116790

5May200720

6June100280

7July105950

8August107850

9September175680

10October185550

11November108650

12December175080

13January(2009)17840

14February90350

15March180130

16April118790

17May200720

18June110280

19July105450

20August107850

21September173688

22October200550

23November118450

24December145580

25January(2010)115450

26February107950

27March175680

28April200550

29May208450

30June245180

31July227600

32August220000

33September183400

34October287650

35November232340

36December200650

37January(2011)173440

38February199800

39March215500

40April249900

41May211800

42June197580

43July211000

44August255500

45September267000

46October295070

47November218700

48December226570

49January(2012)234000

50February 299800

DCS is a Austrian company. It has its representative office in Sialkot, Pakistan. The overall monthly sales of company at Pakistan are 200000. I want to check that the sales of the Company at Pakistan are different from 200000. I have collected the data of 50 months from January 2008 to February 2012. The sales of DCS are mentioned in the above table.

n = 50

Mean of sales of DCS

Standard Deviation of sales of DCS

Testing of HypothesisI will test the hypothesis that the average monthly sales of DCS are 200000.1. Null and Alternative Hypothesis

(Two tailed test)2. Level of Significance

Level of significance = 5 %

3. Test Statistics

4. Critical Region

5. Calculations

6. Results

As my calculated value of t = -2.7463 is greater than the table value which is 2.010 so it lies in rejection region because of which I will reject and accept.Finally, I conclude that the average monthly sales of DCS are not 200000.

Testing of Populations

=50=50

=50037.155=63335.73

=2503716945=4011015875

1. Null and Alternative hypothesis

(Two tailed test) 2. Level of Significance Level of Significance = 5%= 0.05

3. Test Statistics

4. Critical region

5. Calculations

T -Formula

6. ResultsAs our value of t=3.20 lies in the critical region so we will reject our null hypothesis and Accept our alternative hypothesis. Finally we will conclude that there is a difference between the profits of both companies.