A university is interested in promoting graduates of its honors program by establishing that the mean GPA of these graduates exceeds 3.50. A sample of 36 honors students is taken and is found to have a mean GPA equal to 3.60. The population standard deviation is assumed to equal 0.40. The parameter to be tested is ________.
A) the mean GPA of all university students
B) the mean GPA of the university honors students
C) the mean GPA of 3.60 for the 36 selected honors students
D) the proportion of honors students with a GPA exceeding 3.50

Question

Quizplus · Accepted Answer

The parameter to be tested is the mean GPA of the university honors students, because the university is interested in promoting graduates of its honors program by establishing that their mean GPA exceeds 3.50. The sample of 36 honors students is taken from the population of university honors students, and the population standard deviation is known. Therefore, we can conduct a one-sample t-test to determine if the sample mean GPA of 3.60 is significantly higher than 3.50 for the population of university honors students.

A University Is Interested in Promoting Graduates of Its Honors