Question

1. A Prospective buyer tested the bursting pressure of a sample of 120 carry bags received from A and B manufactures. The results are tabulated below:

Bursting Pressure (Kgs)	10-12	12-14	14-16	16-18	18-20	20-22
No. of bags of A	3	14	30	56	12	5
No. of bags of B	8	16	23	34	24	15

Which manufacturer's bags have the higher average of bursting pressure? Which manufactures would you like to recommend and why? If the buyer does not want to buy bags of more than 16 kg bursting pressure then how does it change your suggestion, if at all?

Answer 1

1)

average of A =wi*xi/xi ;here xi is number of bags and wi is category weight

=(3*11+14*13+30*15+56*17+12*19+5*21)/120=16.25

average of B=(8*11+16*13+23*15+34*17+24*19+15*21)/120=16.58

2)

we should recommend on above information bag type B as it has higher average bursting pressure

if 16 kg is threshold ; then we can select any of A and B ; as they have equal number of bags(47 bags and hence equal proportion) below 16 kg bursting pressure