Use the Given Degree of Confidence and Sample Data to Find

question 37

Multiple Choice

Use the given degree of confidence and sample data to find a confidence interval for the population standard deviation ?.
Assume that the population has a normal distribution. Round the confidence interval limits to the same number of decimal places as the sample standard deviation.
-The mean replacement time for a random sample of 20 washing machines is 9.4 years and the standard deviation is 2.5 years. Construct a 99% confidence interval for the standard deviation, ?, of the replacement times of all washing machines of this type.

• A) \(1.8 \mathrm { yr } < \sigma < 4.2 \mathrm { yr }\)
• B) \(1.8 \mathrm { yr } < \sigma < 3.9 \mathrm { yr }\)
• C) \(1.7 \mathrm { yr } < \sigma < 4.8 \mathrm { yr }\)
• D) \(1.8 \mathrm { yr } < \sigma < 5.3 \mathrm { yr }\)

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Definitions:

Splenic Artery

The blood vessel that supplies oxygenated blood to the spleen, branching from the abdominal aorta.

Pancreas

An organ in the abdomen involved in the digestion process and blood sugar regulation, producing digestive enzymes and insulin.

Distributing Arteries

Arteries that branch from larger arteries to distribute blood to various parts of the body.

Muscular Arteries

Arteries that deliver blood from the heart to specific organs, characterized by a thick tunica media with smooth muscle for regulating blood flow.