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 α = 0.01. In addition, assume the populations are normally distributed and the population variances/standard deviations are not equal.

1. State the null and alternate hypotheses (write it mathematically) and write your claim.

2. Find the standardized test statistic

3.  

c. Identify the Rejection region (critical region) and fail to reject region.

d. Decide whether to reject or fail to reject the null.

e. Make an interpretation of your decision in the context.

Teacher 1 Teacher 2 x1 = 473 2 = 4 59 S1 = 39.7 S2 = 24.5 n1 = 8 n 2 = 18