Question

A production line operation is designed to fill cartons with laundry detergent to a mean weight of 32 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 (in other words, if they lead to a conclusion that the mean weight is different from 32 ounces), the production line will be shut down and adjusted to obtain proper filling. What conclusion is appropriate when H0 cannot be rejected

Answer 1

There is no significant evidence to conclude that the mean weight of laundry detergent is being underfilled or overfilled.

Explanation:

The null hypothesis ; H0 : μ = 32

The alternative hypothesis : H1 : μ ≠ 32

The null hypothesis is the initial truth statement, therefore, when the Null hypothesis cannot be rejected, the conclusion goes thus :

There is no significant evidence to conclude that there is difference in the mean weight of laundry detergent. Hence, detergent is neither being underfilled or overfilled.