Use the Given Degree of Confidence and Sample Data to Construct

question 43

Multiple Choice

Use the given degree of confidence and sample data to construct a confidence interval for the population mean μ. Assume that the population has a normal distribution. Thirty randomly selected students took the calculus final. If the sample mean was 95 and the
standard deviation was $6.6$ , construct a $99 \%$ confidence interval for the mean score of all students.

• A) \(91.68<\mu<98.32\)
• B) \(91.69<\mu<98.31\)
• C) \(92.95 < \mu < 97.05\)
• D) \(92.03 < \mu < 97.97\)

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Definitions:

Argument

A series of statements or reasons made to persuade others that an action or idea is right or wrong.

Imply

To suggest or express something indirectly, without stating it explicitly.

Translation

The process of converting text or speech from one language to another.

Tautology

A redundant or repetitive statement in which the conclusion is equivalent to the premise.