Question

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 ___________________________.

• the mean GPA of all university students

• the mean GPA of the university honors students

• the mean GPA of 3.60 for the 36 selected honors students

• the proportion of honors students with a GPA exceeding 3.50

Select one, Only ANS

Answer 1

Answer: 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.

Solution:

The parameter to be tested is the proportion of honors students with a GPA exceeding 3.50.

The hypothesis test:

Ho: μ = 3.50

Ha: μ > 3.50

The last option is correct answer.