Suppose you wish to compare a new method of teaching reading to slow learners to the...

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Suppose you wish to compare a new method of teaching reading to "slow learners" to the current standard method. You decide to base this comparison on the results of a reading test given at the end of a learning period of 6 months. Of a random sample of 22 slow learners, 10 are taught by the new method (Group-1) and 12 are taught by the standard method (Group- 2). All 22 children are taught by qualified instructors under similar conditions for a 6-month period. The scores of the reading test at the end of this period are recorded and give below. X₁ = 76.4, X₂= 72.333, s=5.83, s = 6.34 (a) Use the data above to test whether the true mean test scores differ for the new method and the standard method. Use a = 0.05. (b) Find also the p-value for the test. Suppose you wish to compare a new method of teaching reading to "slow learners" to the current standard method. You decide to base this comparison on the results of a reading test given at the end of a learning period of 6 months. Of a random sample of 22 slow learners, 10 are taught by the new method (Group-1) and 12 are taught by the standard method (Group- 2). All 22 children are taught by qualified instructors under similar conditions for a 6-month period. The scores of the reading test at the end of this period are recorded and give below. X₁ = 76.4, X₂= 72.333, s=5.83, s = 6.34 (a) Use the data above to test whether the true mean test scores differ for the new method and the standard method. Use a = 0.05. (b) Find also the p-value for the test.

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