Mrs. Johnson's freshman statistics classes always finishes an end of the year exam. Last year , 32 randomly selected students completed the exam and averaged a score of 90 with a known standard deviation of 8.6. she decided to change her teaching style this year and then compare the end results. at the end of the most current year, 36 randomly selected students completed the exam with an average of 95 and known standard deviation of 10.2

Is there enough evidence, at a @0.01 level of significance, to show the mean score from this year is higher than last years score? Let u1 represent last year scores and u2 represent this year's scores.

Complete the steps for this hypothesis test to determine a conclusion and interpret the results using a significance level of 1%.