A University Is Interested in Promoting Graduates of Its Honors

Multiple Choice

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. At a 5% significance level, the decision is to ________.

A) reject H₀ we can conclude that the mean GPA is significantly greater than 3.50
B) reject H₀ we cannot conclude that the mean GPA is significantly greater than 3.50
C) not reject H₀ we can conclude that the mean GPA is significantly greater than 3.50
D) not reject H₀ we cannot conclude that the mean GPA is significantly greater than 3.50