Montarello and Martins (2005) found that fifth-grade students completed more mathematics problems correctly when simple problems were mixed in with their regular Participant During Heartbeat Between Heartbeats A 93 98 B 90 94 C 95 96 D 92 91 E 95 97 F 91 97 math assignments. To further explore this phenomenon, supposed that a researcher selects a standardized mathematics achievement test that produces a normal distribution of scores with mean of μ = 100 and a standard deviation of σ = 18. The researcher modifies the test by inserting a set of very easy problems amoung the standardized questions and gives the modified test to a sample of n = 36 students. a. If the average test score for the sample is M = 104, is this result sufficient to conclude that inserting the easy questions improves student performance. Test with α = .01. b. Compute Cohen’s d. c. Write a summary that demonstrates how the outcome of the hypothesis test and d would appear in a research report.

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Montarello and Martins (2005) found that fifth-grade students completed more mathematics problems correctly when simple problems were mixed in with their regular Participant During Heartbeat Between Heartbeats A 93 98 B 90 94 C 95 96 D 92 91 E 95 97 F 91 97 math assignments. To further explore this phenomenon, supposed that a researcher selects a standardized mathematics achievement test that produces a normal distribution of scores with mean of μ = 100 and a standard deviation of σ = 18. The researcher modifies the test by inserting a set of very easy problems amoung the standardized questions and gives the modified test to a sample of n = 36 students. a. If the average test score for the sample is M = 104, is this result sufficient to conclude that inserting the easy questions improves student performance. Test with α = .01. b. Compute Cohen’s d. c. Write a summary that demonstrates how the outcome of the hypothesis test and d would appear in a research report.

 

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