In a sales pitch TriCon, a strategic marketing company, claims they have been able to increase the sales of their previous clients by any average of 3%. A sample of quarterly sales reports of other companies before and after hiring TriCon is provided below (also available for download here Sales.xlsx). Given _BEFORE = 2.67 and _AFTER = 3.48, at a 5% level of significance can you conclude that, for other companies, hiring TriCon has lead to a growth in sales? YOU CAN ASSUME THE POPULATION TO BE NORMALLY DISTRIBUTED.

Quarterly sales (in millions)
Before TriCon Plan	After TriCon Plan
6.67	7.96
4.39	8.83
4.51	7.22
7.85	7.59
6.74	8.68
4.2	8.92
5.76	8.7
4.57	8.87
7.42	8.12
6.87	6.17
5.63	7.49
4.43	7.47
5.29	8.31
4.56	8.6
4.69	7.22
4.29	6.27
7.82	7.47
6.26	6.89
7.01	8.77
5.91	7.31
5.87	7.02
	7.23
	8.68
	8.85
	8.15
	7.41

a) Properly state the mathematical hypotheses: (1 mark)

b) p-value: (3 marks)

FUNCTION:
FIELD 1:
FIELD 2:
FIELD 3:
FIELD 4:

FINAL ANSWER:

ANSWER TO 4 DECIMALS

c) Conclusion: (2 mark) (YOU MUST EXPLAIN YOUR ANSWER MATHEMATICALLY FOR THE MARK)