Results of thirty two count tests each made on the yarn spun by two different ring frames are as follows
Mean count
R/F A RIF B
30.5
32.8
Variance 1.54 2.15
Using above data identify populations, parameters and calculate proper statistic to test the hypothesis whether yarns of rina frame A is coarser than that of B using 5% los. Assume that variation in the count is same for yarns of two ringframes
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Determine the point which maximises or minimises the function :
U= x
2
+ xy+y2
+3z2
Subject to : z+2y +4z = 60Determine the point which maximises or minimises the function :
U= x
2
+ xy+y2
+3z2
Subject to : z+2y +4z = 60
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