The Administrator of a College Is Concerned About the Students

question 74

Essay

The administrator of a college is concerned about the students using cell phones for texting during the class hours. She randomly selects 25 students to check if the variance of the number of students in the college using cell phones during the class hours is less than 12. She arrives at a sample variance of 7. She assumes the distribution to be normal.
A) State the appropriate null and alternative hypotheses for the test.
B) Compute the value of the test statistic.
C) Use the critical value approach to test the administrator's concern at α = 0.10.
D) Repeat the test at α = 0.01.

• A) State the appropriate null and alternative hypotheses for the test.
• B) Compute the value of the test statistic.
• C) Use the critical value approach to test the administrator's concern at α = 0.10.
• D) Repeat the test at α = 0.01.

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Definitions:

Test Standardization

The process of administering a test under consistent conditions to ensure the reliability and validity of the results.

Comparison Group

A control group used in an experiment that does not receive the experimental treatment, allowing researchers to compare outcomes.

75th Percentile

A statistical measure indicating that 75% of the observed values fall below this point, often used in assessments to understand distribution.

Percentile Score

A score that indicates the relative standing of an individual in a particular population, showing the percentage of scores that fall below a specific point.