Question

A production line operation is designed to fill cartons with laundry detergent to a mean weight of 64 ounces. A sample of cartons is periodically selected and weighed to determine whether underfilling or overfilling is occurring. If the sample data lead to a conclusion of underfilling or overfilling, the production line will be shut down and adjusted to obtain proper filling.

(a) Formulate the null and alternative hypotheses that will help in deciding whether to shut down and adjust the production line.

a) H₀: μ = 64

b) H_a: μ ≠ 64

a) H₀: μ ≤ 64

b) H_a: μ > 64

a)H₀: μ = 64

b)H_a: μ < 64

a) H₀: μ = 64

b) H_a: μ > 64

a) H₀: μ ≥ 64

b) H_a: μ < 64

(b) Comment on the conclusion and the decision when H₀ cannot be rejected.

a) Conclude that there is not statistical evidence that the production line is not operating properly. Do not allow the production process to continue.

b) Conclude that there is statistical evidence that the production line is not operating properly. Do not allow the production process to continue.    

c) Conclude that there is statistical evidence that the production line is not operating properly. Allow the production process to continue.

d) Conclude that there is not statistical evidence that the production line is not operating properly. Allow the production process to continue.

(c) Comment on the conclusion and the decision when H₀ can be rejected.

a) Conclude that there is not statistical evidence that overfilling or underfilling exists. Do not shut down and adjust the production line.

b) Conclude that there is statistical evidence that overfilling or underfilling exists. Shut down and adjust the production line.    

c) Conclude that there is not statistical evidence that overfilling or underfilling exists. Shut down and adjust the production line.

d) Conclude that there is statistical evidence that overfilling or underfilling exists. Do not shut down and adjust the production line.

Answer 1