A Random Sample of 25 Statistics Examinations Was Selected

question 56

Multiple Choice

A random sample of 25 statistics examinations was selected. The average score in the sample was 76 with a variance of 144. Assuming the scores are normally distributed, the 99% confidence interval for the population average examination score is _____.

• A) 70.02 to 81.98
• B) 69.82 to 82.18
• C) 70.06 to 81.94
• D) 69.29 to 82.71

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Definitions:

Random Error

Variability in measurement or data that arises from unpredictable fluctuations during the data collection process.

Selection Bias

A type of error that occurs when the sample is not representative of the population being studied, potentially leading to skewed results.

Observational Studies

Research methods where subjects are observed in their natural environment without any manipulation by the researcher.

Behavior of Chimpanzees

The range of activities and behaviors exhibited by chimpanzees, reflecting their complex social structures, communication methods, and intelligence.