Montarello and Martins (2005) found that fifth-grade
students completed more mathematics problems
correctly when simple problems were mixed in
with their regular math assignments. To further
explore this phenomenon, suppose that a researcher
selects a standardized mathematics achievement test
that produces a normal distribution of scores with
a mean of 100 and a standard deviation of
 18. The researcher modifies the test by inserting
a set of very easy problems among the standardized
questions, and gives the modified test to a sample
of n 36 students. If the average test score for
the sample is M 104, is this result sufficient to
conclude that inserting the easy questions improves
student performance? Use a one-tailed test with
 .01.