Use the Confidence Level and Sample Data to Find a Confidence

question 66

Multiple Choice

Use the confidence level and sample data to find a confidence interval for estimating the population µ. Round your answer to the same number of decimal places as the sample mean.
-A group of 64 randomly selected students have a mean score of $38.6$ with a standard deviation of $4.9$ on a placement test. What is the $90 \%$ confidence interval for the mean score, $\mu$ , of all students taking the test?

• A) \(37.4 < \mu < 39.8\)
• B) \(37.2 < \mu < 40.0\)
• C) \(37.6 < \mu < 39.6\)
• D) \(37.0 < \mu < 40.2\)

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Definitions:

Schachter

Stanley Schachter was an American psychologist known for his development of the two-factor theory of emotion, which suggests that emotions are determined by physiological arousal and cognitive interpretation.

Singer

A person who performs vocally, producing musical tones with their voice.

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The tendency of the body to maintain a steady state.

Facial Feedback

The theory that sensory feedback from our facial expressions can affect our mood and emotions, suggesting that smiling can make us feel happier.