A Machine Is Designed to Fill Toothpaste Tubes with 5 $\mu$

question 103

Multiple Choice

A machine is designed to fill toothpaste tubes with 5.8 ounces of toothpaste.The manufacturer does not want any underfilling or overfilling.The correct hypotheses to be tested are

• A)H₀: \(\mu\)\(\neq\) 5.8 H_a: \(\mu\) = 5.8
• B)H₀: \(\mu\) = 5.8 H_a: \(\mu\)\(\neq\)5.8
• C)H₀: \(\mu\) > 5.8 H_a: \(\mu\) \(\le\) 5.8
• D)H₀: \(\mu\) \(\ge\) 5.8 H_a: \(\mu\) < 5.8

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Definitions:

Significance Level

The probability of rejecting the null hypothesis in a statistical test when it is actually true; commonly denoted by alpha.

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Messages designed to promote or sell a product, service, or idea to consumers or audiences.

Wilcoxon Signed Rank Test

A non-parametric statistical test used to compare two related samples, to assess whether their population mean ranks differ.

Nonparametric Method

Statistical methods that do not assume a specific distribution for the data, making them flexible in analyzing data without certain underlying assumptions.