Can moving their hands help children learn math? This question was investigated in a study.Eighty-five childrenin the third andfourth gradeswho did not answer any questions correctly on a test withsix problemsof the form3 + 2 + 8 = ___ + 8 were participants in an experiment. The children were randomly assigned to either ano-gesturegroup or a gesture group. All the children were given a lesson on how to solve problems of this form using the strategy of trying to make both sides of the equation equal. Children in the gesture group were also taught to point to the first two numbers on the left side of the equation with the index and middle finger ofone handand then to point at the blank on the right side of the equation. This gesture was supposed to emphasize that grouping is involved in solving the problem. The children then practiced additional problems of this type. All children were then given a test withsix problemsto solve, and the number of correct answers was recorded for each child. Summary statistics are given below.

Is there evidence that learning the gesturing approach to solving problems of this type results in a significantly higher mean number of correct responses? Test the relevant hypotheses using?= 0.05.

Find the test statistic andP-value.

How can I solve this problem using a TI 84? I know I can do an independent t test but I do not know how to find a paired t test option. How would I figure out a paired t test confidence interval on the calculator?

(Use?₁for the gesture group and?₂for the no-gesture group.)

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