It Is Known That the Length of a Certain Product $\mu$

question 37

Multiple Choice

It is known that the length of a certain product X is normally distributed with $\mu$ = 20 inches.How is the probability related to ?

• A) is greater than
• B) is smaller than
• C) is the same as .
• D) No comparison can be made with the given information.

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Definitions:

Critical Value

A point on the scale of the test statistic beyond which we reject the null hypothesis, thus indicating that the observed data are highly unlikely under the null hypothesis.

Null Hypothesis

The hypothesis that there is no significant difference between specified populations, any observed difference being due to sampling or experimental error.

Degrees of Freedom

The number of independent values or quantities which can vary in the calculation of a statistic, often linked to the sample size.

Significance Level

The significance level, often denoted as alpha, is the probability of rejecting the null hypothesis in a statistical test when it is actually true, representing the risk of a type I error.