cl. Decide whether to reject or fail to reject the null. (2 points) e. Make an interpretation of your decision inthe context. (2 points) 7) The results of a state mathematics test for random samples of students taught by two different teachers at the same school are shown below. Can you conclude there is a difference in the mean mathematics test scores for the students of the two teachers? Use u(alpha} = 0.01 In addition, assume the populations are normally distributed and the population variances] standard deviations are UNKNOWN and NOT EQUAL. Teacher 1 Teacher 2 \"it = 473 "E = 459 51: 39.7 52:24.5 n1=8 n2:18 a. State the null and alternate hypotheses (write it mathematically) andwrite your claim. (2 Points) b. Find the test statistic (3 Points) [Use Algebra first then Tech next] c. Identify the Rejection region [critical region) and fail to reject region. Show this by drawing a curve and separate the rejection region from the fail to reject region using the critical values, (3 Points)