A cereal box is labeled as containing 16 ounces. Suppose the production line manager tests to determine whether the average weight of cereal in a box is less than 16 ounces. He concludes that the null hypothesis should not be rejected. Which of the following is a correct statement? (A) The production line appears to be filling the cereal boxes with at least 16 ounces of cereal. (B) The weights in each box must have been recorded incorrectly. (C) The company should either change the label or add more cereal to each box in the production line. (D) No conclusions regarding the weight of cereal in a box can be drawn from the test.

Lyrics A

Step-by-step explanation:

Problem statement does not mention anything about conditions of the test, so we dont know if the experiment was correctly done, but we know the kind of problem we are facing here is concerning a normal distribution

Then assuming the test was done by knowledgeable people, which means:

- they got correct information from the population

-sample was big enough

- level of confidence was acceptable for the test (approximately 95 %) - Alternative hypothesis took into account two tails test

-Test was evaluated according to sample size

-And finally calculations were right

Under the above mentioned conditions, they tested the hypotesis H₀ = μ₀ = 16 ounces and they got results that implies the acceptance of such hypothesis (that means the null hypothesis should not be rejected), and the answer is lyrics A