The makers of Mini-Oats Cereal have an automated packaging machine that can be set at any targeted fill level between 12 and 32 ounces.Every box of cereal is not expected to contain exactly the targeted weight,but the average of all boxes filled should.At the end of every shift (eight hours),16 boxes are selected at random and the mean and standard deviation of the sample are computed.Based on these sample results,the production control manager determines whether the filling machine needs to be readjusted or whether it remains all right to operate.Use α = 0.05.Establish the appropriate null and alternative hypotheses to be tested for boxes that are supposed to have an average of 24 ounces. A)H₀: μ = 32 ounces H_a: μ ≠ 32 ounces B)H₀: μ = 16 ounces H_a: μ ≠ 16 ounces C)H₀: μ = 22 ounces H_a: μ ≠ 22 ounces D)H₀: μ = 24 ounces H_a: μ ≠ 24 ounces

Question

Quizplus · Accepted Answer

The appropriate null and alternative hypotheses to be tested for boxes that are supposed to have an average of 24 ounces are:

Null Hypothesis: μ = 24 ounces 
Alternative Hypothesis: μ ≠ 24 ounces

This means that we will test whether the mean weight of the boxes is significantly different from the target value of 24 ounces. Choice D correctly represents these hypotheses.

The Makers of Mini-Oats Cereal Have an Automated Packaging Machine