Carmen is a school district administrator and is interested in comparing the effectiveness of two teaching approaches for teaching high school math: activity-based learning and textbook presentation. To investigate, she identifies 130 high school students in the district who were taught math last year using only activity-based learning and 130 who were taught using only textbook presentation. She then refers to the schools' databases and retrieves last year's math final exam scores for these 260 students. Carmen plans to compare the final exam scores between the two groups. (a)First choose whether the procedure described above is an observational study or a designed experiment. Then further categorize the procedure by choosing the correct type of observational study or designed experiment. Observational study Designed experiment prospective double-blind retrospective completely randomized (b)Which one of the following best describes the explanatory (independent) and response (dependent) variables? The explanatory variable is the final exam score and the response variable is the teaching approach. The explanatory variable is the teaching approach and the response variable is the level of math course. The explanatory variable is the level of math course and the response variable is the final exam score. The explanatory variable is the teaching approach and the response variable is the final exam score. (c)Suppose there is a significant difference in final exam scores between the students taught using the activity-based learning approach and the students taught using the textbook presentation approach. Has Carmen found evidence to support a claim that there is an association between the final exam score and the choice of teaching approach? Choose the best answer below. No. Evidence can never be found to support a claim that two variables are associated. Yes. In fact, Carmen would be well-justified in making the even stronger claim that the difference in exam scores is caused by the choice of teaching approach. Yes. However, further work would be needed to have a well-justified claim that the difference in exam scores is caused by the choice of teaching approach.

Carmen is a school district administrator and is interested in comparing the effectiveness of two teaching approaches for teaching high school math: activity-based learning and textbook presentation. To investigate, she identifies 130 high school students in the district who were taught math last year using only activity-based learning and 130 who were taught using only textbook presentation. She then refers to the schools' databases and retrieves last year's math final exam scores for these 260 students. Carmen plans to compare the final exam scores between the two groups. (a)First choose whether the procedure described above is an observational study or a designed experiment. Then further categorize the procedure by choosing the correct type of observational study or designed experiment. Observational study Designed experiment prospective double-blind retrospective completely randomized (b)Which one of the following best describes the explanatory (independent) and response (dependent) variables? The explanatory variable is the final exam score and the response variable is the teaching approach. The explanatory variable is the teaching approach and the response variable is the level of math course. The explanatory variable is the level of math course and the response variable is the final exam score. The explanatory variable is the teaching approach and the response variable is the final exam score. (c)Suppose there is a significant difference in final exam scores between the students taught using the activity-based learning approach and the students taught using the textbook presentation approach. Has Carmen found evidence to support a claim that there is an association between the final exam score and the choice of teaching approach? Choose the best answer below. No. Evidence can never be found to support a claim that two variables are associated. Yes. In fact, Carmen would be well-justified in making the even stronger claim that the difference in exam scores is caused by the choice of teaching approach. Yes. However, further work would be needed to have a well-justified claim that the difference in exam scores is caused by the choice of teaching approach.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 27PPS

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Question

130

high school students in the district who were taught math last year using only activity-based learning and

130

who were taught using only textbook presentation. She then refers to the schools' databases and retrieves last year's math final exam scores for these

260

students. Carmen plans to compare the final exam scores between the two groups.

(a)First choose whether the procedure described above is an observational study or a designed experiment. Then further categorize the procedure by choosing the correct type of observational study or designed experiment.

Observational study	Designed experiment
prospective	double-blind
retrospective	completely randomized

(b)Which one of the following best describes the explanatory (independent) and response (dependent) variables?

The explanatory variable is the final exam score and the response variable is the teaching approach.

The explanatory variable is the teaching approach and the response variable is the level of math course.

The explanatory variable is the level of math course and the response variable is the final exam score.

The explanatory variable is the teaching approach and the response variable is the final exam score.

(c)Suppose there is a significant difference in final exam scores between the students taught using the activity-based learning approach and the students taught using the textbook presentation approach. Has Carmen found evidence to support a claim that there is an association between the final exam score and the choice of teaching approach? Choose the best answer below.

No. Evidence can never be found to support a claim that two variables are associated.

Yes. In fact, Carmen would be well-justified in making the even stronger claim that the difference in exam scores is caused by the choice of teaching approach.

Yes. However, further work would be needed to have a well-justified claim that the difference in exam scores is caused by the choice of teaching approach.

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