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Suppose a classroom teacher wants to measure whether offering candy as a reward will increase the number of times that a student raises his/her hand to answer a question in class. A study yields the following data.Row C1 C21 9 122 7 83 15 144 10 115 8 7If column 1 is the number of times that a student raised their hand to answer a question before the candy reward was implemented, and column 2 is the number of times that the same students raised their hands to answer questions after the candy reward was implemented, which of the following is the appropriate inference method to analyze these data? Matched pairs Two independent samples Inference for regression

Question

Suppose a classroom teacher wants to measure whether offering candy as a reward will increase the number of times that a student raises his/her hand to answer a question in class. A study yields the following data.Row C1 C21 9 122 7 83 15 144 10 115 8 7If column 1 is the number of times that a student raised their hand to answer a question before the candy reward was implemented, and column 2 is the number of times that the same students raised their hands to answer questions after the candy reward was implemented, which of the following is the appropriate inference method to analyze these data? Matched pairs Two independent samples Inference for regression

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Solution

The appropriate inference method to analyze these data is Matched pairs. This is because the same students are being measured before and after the candy reward was implemented. This means that the two sets of data are dependent on each other, making it a matched pairs situation. Two independent samples would be appropriate if the two sets of data were not related, and inference for regression would be used if we were trying to predict a relationship between two variables.

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