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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, 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. b. Comment on the conclusion and the decision when H 0 cannot be rejected. c. Comment on the conclusion and the decision when H 0 can be rejected.

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STATISTICS F/BUSINESS+ECONOMICS-TE...

13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884

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STATISTICS F/BUSINESS+ECONOMICS-TE...

13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884
Chapter 9.1, Problem 3E
Textbook Problem
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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, the production line will be shut down and adjusted to obtain proper filling.

  1. a. Formulate the null and alternative hypotheses that will help in deciding whether to shut down and adjust the production line.
  2. b. Comment on the conclusion and the decision when H0 cannot be rejected.
  3. c. Comment on the conclusion and the decision when H0 can be rejected.

a.

To determine

Identify the null and alternative hypotheses that are most appropriate for the given situation.

Explanation of Solution

The given information is that the mean weight is 32 ounces.

Here, the claim is that overfilling or underfilling exists. This can be written as μ32. The complement of the claim is μ=32. In the given experiment, the alternative hypothesis indicates the claim

b.

To determine

Comment on the conclusion when H0 cannot be rejected.

c.

To determine

Comment the conclusion when H0 can be rejected.

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Chapter 9 Solutions

STATISTICS F/BUSINESS+ECONOMICS-TEXT
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