Two laboratories A and B carry out independent estimates of fat content in ice-cream made by a firm. A sample is taken from each batch, halved and the separate halves sent to the two laboratories. The fat content obtained by the two laboratories is recorded below:

Batch No.	1	2	3	4	5	6	7	8	9	10
Lab. A	3	5	7	3	8	6	9	4	7	8
Lab. B	9	8	8	4	7	7	9	6	6	6

(i) Given the following EXCEL report is there a significant difference between the mean fat content obtained by the two laboratories A and B? State the hypothesis, decision rule, and conclusion.

t-Test: Paired Two Sample for Means

Variable 1 Variable 2

Mean 6 7 Variance 4.6667 2.4444 Observations 10 10 Pearson Correlation 0.2632 Hypothesized Mean

Difference 0

df 9

t Stat -1.36931

P(T<=t) one-tail 0.102049

t Critical one-tail 1.833113

P(T<=t) two-tail 0.204099

t Critical two-tail 2.262157

(ii) Calculate the same and confirm that you would arrive at the same conclusion.