A sample of n = 16 high school students took the SAT before and after a special training course. For each student, the difference between the first score and the second score was measured, and the results showed that their SAT scores averaged MD = 18 points higher after the course with SS = 6000. On the basis of this sample, can you conclude that there was a significant difference after taking the training course? Use a two-tailed test at the .05 level of significance. Are the data sufficient to conclude that the training course improve SAT scores? (Be sure to give your conclusion, too)  If the researcher had used a sample of n = 5 high school students and obtained the same mean difference (MD), would the results be sufficient to reject H0? (Be sure to give your conclusion, too)  Use Cohen’s d to measure the effect size. What is the size of effect?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
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A sample of = 16 high school students took the SAT before and after a special training course. For each student, the difference between the first score and the second score was measured, and the results showed that their SAT scores averaged M= 18 points higher after the course with SS = 6000. On the basis of this sample, can you conclude that there was a significant difference after taking the training course? Use a two-tailed test at the .05 level of significance.

  1. Are the data sufficient to conclude that the training course improve SAT scores? (Be sure to give your conclusion, too) 
  2. If the researcher had used a sample of n = 5 high school students and obtained the same mean difference (MD), would the results be sufficient to reject H0? (Be sure to give your conclusion, too) 
  3. Use Cohen’s d to measure the effect size. What is the size of effect?
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