A Random Sample of 16 Students Selected from the Student

question 73

Multiple Choice

A random sample of 16 students selected from the student body of a large university had an average age of 25 years and a standard deviation of 2 years.We want to determine if the average age of all the students at the university is significantly more than 24.Assume the distribution of the population of ages is normal.The p-value is between

• A) .005 to .01.
• B) .01 to .025.
• C) .025 to .05.
• D) .05 to .10.

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Definitions:

Sample Proportion

The fraction or percentage of the sample that represents part of a particular category or characteristic of interest.

Null Hypothesis

A hypothesis that assumes no significant difference or effect in the context of an experiment or test.

Alternative Hypothesis

A hypothesis that contradicts the null hypothesis, suggesting that there is a significant effect or difference.

Test Statistic

A value calculated from sample data during hypothesis testing. It is used to determine whether to reject the null hypothesis.