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Critique the following statements and determine if there is a significant difference between the treatments. Two high school teachers, Ms. Brown and Mr. Sorrentino, are preparing their students to take the state’s standardized testing for the school year. In the previous school year, Ms. Brown and Mr. Sorrentino followed the same curriculum and teaching methods. Based on last year’s score report to the teachers, the students in both classrooms yielded an average score of 83. This year, Ms. Brown and Mr. Sorrentino are following different curriculums to determine whether this will raise their class averages. Compared to last year, Ms. Brown’s students spent an additional week studying probability and two additional weeks studying inequalities. Here are her students’ scores from this year’s report: 71 79 93 75 88 72 91 80 71 90 Compared to last year, Mr. Sorrentino’s students spent an additional week studying probability and two additional weeks studying quadratic equations. Here are his students’ scores from this year’s report: 88 97 77 89 87 82 93 96 85 86 Determine the effectiveness of the new curriculum. (1 point) Responses Neither curriculum helped to improve scores. Neither curriculum helped to improve scores. Ms. Brown’s curriculum was more effective. Ms. Brown’s curriculum was more effective. Mr. Sorrentino’s curriculum was more effective. Mr. Sorrentino’s curriculum was more effective. Mr. Sorrentino’s and Ms. Brown’s curriculums increased the class averages by the same amount

1 answer

To determine the effectiveness of the new curriculum and to address the statements provided, we first need to analyze the scores from both Ms. Brown's and Mr. Sorrentino's classes, calculate their average scores, and compare them to last year's performance.

Step 1: Calculate the Average Scores

Ms. Brown's Students' Scores:

  • Scores: 71, 79, 93, 75, 88, 72, 91, 80, 71, 90
  • Average: (71 + 79 + 93 + 75 + 88 + 72 + 91 + 80 + 71 + 90) / 10 = 81.0

Mr. Sorrentino's Students' Scores:

  • Scores: 88, 97, 77, 89, 87, 82, 93, 96, 85, 86
  • Average: (88 + 97 + 77 + 89 + 87 + 82 + 93 + 96 + 85 + 86) / 10 = 88.9

Step 2: Compare with Last Year's Scores

Last year's average score for both teachers was 83.

Change in Scores:

  • Ms. Brown: 81.0 - 83 = -2.0 (decrease of 2 points)
  • Mr. Sorrentino: 88.9 - 83 = +5.9 (increase of 5.9 points)

Step 3: Analyze the Results

Based on the findings:

  • Ms. Brown's students' average decreased compared to last year, indicating that her new curriculum did not improve their scores.
  • Mr. Sorrentino's students' average increased significantly compared to last year, suggesting that his curriculum was effective in raising scores.

Step 4: Evaluate the Responses

  1. "Neither curriculum helped to improve scores." - Incorrect. Mr. Sorrentino's curriculum did help improve scores.
  2. "Ms. Brown’s curriculum was more effective." - Incorrect. It was not effective; her results decreased.
  3. "Mr. Sorrentino’s curriculum was more effective." - Correct. His students showed an improvement in scores.
  4. "Mr. Sorrentino’s and Ms. Brown’s curriculums increased the class averages by the same amount." - Incorrect. Only Mr. Sorrentino's class saw an increase.

Conclusion

The assessment indicates that Mr. Sorrentino's curriculum was significantly more effective compared to Ms. Brown’s curriculum in raising the students' average scores. The correct response is: "Mr. Sorrentino’s curriculum was more effective."