Question

Two different box-filling machines are used to fill cereal boxes on an assembly line, which affects the weight of the product in the boxes. It is known that the standard deviation of the weight of the product is o=0.83 ounce, for both machines. Experiments are conducted using both machines with sample sizes of 35 each. Use the Central Limit Theorem to find the probability P(X-X, < 0.28) under the condition H1 - H2.

Answer 1

Sol Given that S, -0.83 , Sz=0.83 n = 35 n₂=35 SE = 5,²+52 683)2 (0.83) 35 + ni nz 35 SE -0.1984 Paxi-7, 0.28) - p/0.28-0 0.1984 >2) =P(221.41) = 0.9207