A New Manufacturing Method Has Been Introduced to Streamline the Canning

Multiple Choice

A new manufacturing method has been introduced to streamline the canning process of cherries. Although the time to fill a can has been reduced, the quality control manager is concerned about the uniformity of the amount of cherries in each can. The cans are labelled to contain 14.5 grams of cherries (the remaining volume consisting of natural juice) . To be sure that this level has not been affected by the new canning method, the manager randomly samples 80 cans over an eight hour shift. The mean number of grams is 14.64. The population standard deviation is known to be 0.4g.
-The null and alternative hypothesis to determine if the new method has changed the amount of cherries that should be in the can is _____.

A) H₀: µ ≥ 14.64 H_a: µ ≤ 14.64
B) H₀: µ ≤ 14.5 H_a: µ > 14.5
C) H₀: µ ≥ 14.5 H_a: µ < 14.5
D) H₀: µ = 14.5 H_a: µ ≠ 14.5
E) H₀: µ ≠ 14.5 H_a: µ = 14.5