A local school district is considering a new math curriculum. Due to limited resources school administrators decide to pilot the curriculum on a sample of 20 students randomly selected from the districts five elementary schools.  The students’ average math score prior to the implementation of the math curriculum was 60 (s = 5).  After three months of using the new math curriculum students’ average math score was 85 (s = 3). (1) State the null and alternative hypotheses for this study (2) What is the dependent and independent variable for this study (3) What test statistic/hypothesis test would you select to determine if the two means are significantly difference at the alpha .05 level? (4) What critical value would you use to make your decision to reject or retain the null hypothesis at alpha .05?

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Author:Amos Gilat
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A local school district is considering a new math curriculum. Due to limited resources school administrators decide to pilot the curriculum on a sample of 20 students randomly selected from the districts five elementary schools.  The students’ average math score prior to the implementation of the math curriculum was 60 (s = 5).  After three months of using the new math curriculum students’ average math score was 85 (s = 3). (1) State the null and alternative hypotheses for this study (2) What is the dependent and independent variable for this study (3) What test statistic/hypothesis test would you select to determine if the two means are significantly difference at the alpha .05 level? (4) What critical value would you use to make your decision to reject or retain the null hypothesis at alpha .05? 

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