Discrete Components, Inc $\alpha$ = 005, the Null Hypothesis Is _________________ $\mu$

question 36

Multiple Choice

Discrete Components, Inc.manufactures a line of electrical resistors.Presently, the carbon composition line is producing 100-ohm resistors.The population variance of these resistors "must not exceed 4" to conform to industry standards.Periodically, the quality control inspectors check for conformity by randomly selecting 10 resistors from the line, and calculating the sample variance.The last sample had a variance of 4.36.Assume that the population is normally distributed.Using $\alpha$ = 0.05, the null hypothesis is _________________.

• A)\(\mu\)= 100
• B)\(\sigma\) \(\le\) 10
• C)s² \(\ge\) 4
• D)\(\sigma\)² = = 4
• E)n = 100

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Definitions:

Level Of Significance

The probability of incorrectly rejecting a true null hypothesis, often denoted by alpha in hypothesis testing.

Confidence Interval

A range of values, derived from sample statistics, that is likely to contain the population parameter with a specified level of confidence.

Null Hypothesis

A statement used in hypothesis testing that assumes no effect or no difference exists between two or more sets of data.

Hypothesized Value

A specific value proposed as existing or being true within the context of a statistical hypothesis test.