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.  Teacher 1 Teacher 2 ?̅1 = 473 ?̅2 = 459 S1 = 39.7 S2 = 24.5 n 1 = 8 n 2 = 18 State the null and alternate hypotheses (write it mathematically) and write your claim. Find the test statistic 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

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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. 

Teacher 1

Teacher 2

?̅1 = 473

?̅2 = 459

S1 = 39.7

S2 = 24.5

1 = 8

2 = 18

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

Find the test statistic

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

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