Twenty-two fourth-grade children were randomly divided into two groups. Group A was taught spelling by a phonetic method. Group B was taught spelling by a memorization method. At the end of the fourth grade, all children were given a standard spelling exam.

The scores are as follows.

Use a 1% level of signifi­cance to test the claim that there is no difference in the test score distributions based on instruction method.

(a) What is the level of signifi­cance? State the null and alternate hypotheses.

(b) Compute the sample test statistic. What is the sampling distribution?

What conditions are necessary to use this distribution?

(c) Find the P-value of the sample test statistic.

(d) Conclude the test.

(e) Interpret the conclusion in the context of the application.

Transcribed Image Text:

Group A77 95 83 69 85 92 61 79 87 93 65 78 Group B62 90 70 81 63 75 80 72 82 94 65 79