Use the Confidence Level and Sample Data to Find a Confidence

question 107

Multiple Choice

Use the confidence level and sample data to find a confidence interval for estimating the population µ.
-A random sample of 79 light bulbs had a mean life of $x = 400$ hours with a standard deviation of $\sigma = 28$ hours. Construct a 90 percent confidence interval for the mean life, $\mu$ , of all light bulbs of this type.

• A) \(393 < \mu < 407\)
• B) \(394 < \mu < 406\)
• C) \(395 < \mu < 405\)
• D) \(392 < \mu < 408\)

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Definitions:

Snoring

The noisy breathing sound occurring during sleep, caused by the vibration of the respiratory structures due to obstructed air movement.

Sleep Apnea

A condition disrupting normal sleep patterns due to interruptions in breathing or instances of light breathing.

Snoring

The hoarse or harsh sound that occurs when air flows past relaxed tissues in the throat, causing the tissues to vibrate during sleep.

Breathing

The process of inhaling oxygen and exhaling carbon dioxide from the atmosphere, essential for life.