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. To establish whether the mean GPA exceeds 3.50, the appropriate hypotheses are ________.

Answer 1

Solution:

Given: A university is interested in promoting graduates of its honors program by establishing that the mean GPA of these graduates exceeds 3.50.

Sample size = n = 36

Sample mean =

Population Standard Deviation =

We have to state the appropriate hypotheses:

Since we have to test of mean GPA exceeds 3.50. this indicates Mean > 3.50, so that means this is right tailed test.

Thus null and alternative hypothesis are:

Vs