State the null and alternate hypotheses (write it mathematically) andwrite 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. Decide whether to reject or fail to reject the null. Make an interpretation of your decision inthe context.
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
Teacher 1 ?̅1= 473
S1 = 39.7 n 1 = 8
Teacher 2 ?̅2=459
S2 = 24.5 n 2 = 18
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State the null and alternate hypotheses (write it mathematically) andwrite 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.
-
Decide whether to reject or fail to reject the null.
-
Make an interpretation of your decision inthe context.
x1 =473
x2 = 459
s1 = 39.7
s2 =24.5
n1 = 8
n2 =18
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