Use the Given Degree of Confidence and Sample Data to Construct

question 26

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.
-The mean replacement time for a random sample of 20 washing machines is 10.2 years and the standard deviation is 2.6 years. Construct a 99% confidence interval for the standard deviation, ?, of the replacement times of all washing machines of this type.

• A) \(1.8 \mathrm { yr } < \sigma < 4.9 \mathrm { yr }\)
• B) \(1.8 \mathrm { yr } < \sigma < 5.5 \mathrm { yr }\)
• C) \(1.8 \mathrm { yr } < \sigma < 4.3 \mathrm { yr }\)
• D) \(1.9 \mathrm { yr } < \sigma < 4.1 \mathrm { yr }\)

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Definitions:

Apgar Scoring System

A quick test performed on a newborn at 1 and 5 minutes after birth to assess their physical condition and need for immediate medical attention.

Failure to Thrive (FTT)

Describes a condition, often seen in children, wherein the individual does not gain weight or grow as expected, indicating potential nutritional, emotional, or health issues.

Standardized Growth Charts

Tools used by healthcare providers to track a child's physical growth over time against a population standard, assessing their development and general health.

Third Percentile

A statistical measurement indicating that an individual’s score is above only 3% of the population in a given data set.