Mr. Prospero has been teaching Algebra II from a particular textbook at Remote Isle High School for
many years. Over the years students in his Algebra II classes have consistently scored an average of
67 on the end of course exam (EOC). This year Mr. Prospero used a new textbook in the hope that the
average score on the EOC test would be higher. The average EOC test score of the 64 students who
took Algebra II from Mr. Prospero this year had mean 69.4 and sample standard deviation 6.1.
Determine whether these data provide sufficient evidence, at the 1% level of significance, to
conclude that the average EOC test score is higher with the new textbook