Question

Flease view lle PIUUIen verw. Two machines are used to fill 50-pound bags of dog food. Sample information for these two machines is given in the following table. Machine B Machine A 18 51 16 Sample Size Sample Mean (pounds) Sample Variance 21 49 If the amount of dog food dispensed in these bags is assumed to be normally distributed with equal variances, what will be an appropriate set of hypothesis if you wanted to determine whether there is a difference in the averages for the populations of the amount dispensed in the bags? Use the difference between the means of the two populations (machine A - Machine B). (a) Ho:Ma - Mg # O vs. Hila - Mg = 0. Prev (b) Houa - Ug = 0 vs. H:HA - Mg + 0. (c) Ho:HA - MB 0 vs. H:MA - MB <0. (d) Ho:Ma - MB S O vs. H:HA - MB > 0. Choose one of the following:

Answer 1

page-1 - Soluction: given that! n = 18 X : 31 3 = 16 n2 = 21 X2 = 49 32ag S ... The sample variance is equale we kolcellate sp= (mp+1) 8,² + (n - 22522 nitna-2 mmmmmmm I 17 x 16+ 2049 18+212 452 - 12.22 37. 12.22 The Null and callenative hypothesis - Hoi- allA - MB For HillA-cup to

paye-2 The fest Statistic? X, - x2 to see the da51-49 850x tett ni n2 2 bo 2 tt = 1079 4 = 0+025 Critical value: we can take x=0.05- degree of Freedom - nitn2-2 37 tarzin-1 =+2:0262 decision. 5 ty tarzin-1 if reject Ho 79 2.0262 Fail to reject Ho coe

page 3 - - Conclusion There is sut not Conclude that the FoE the populations dispented in the bags sufficient evidence to difference in the averages- of the amount