Below is the information about the weight of coffee (in thousand kg) sold at two locations (location1 and location 2)

26.3, 26.5, 16.2, 16.2, 26.4, 16.8, 16.1, 16.9 (8 shops)
44.4, 44.7, 34.9, 54.1, 44.8, 22.6, 36.4 (7 shops)

Find
I) 95% confidence interval for the difference between the mean weight for the coffee sold at different locations.
ii) where do you prefer to own a shop? Why? Explain
iii) Now you need to prove whether preferred area has really got higher mean of weight of coffee sold over the week in question. Carry out appropriate tests at 5% and 1% levels. Comment