Acculturation Rating Scale for Mexican Americans (ARSMA) and the Bicultural Inventory (BI) both measure the extent to which Mexican Americans have adopted the Anglo/English culture.  These tests were compared by administering both tests to 22 Mexican Americans.  Both tests have the same range of scores (1.00 to 5.00) and are scaled to have similar means for the groups used to develop them.  There was a high correlation between the two scores, giving evidence that both are measuring the same characteristics.  The researchers wanted to know whether the popul

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The Acculturation Rating Scale for Mexican Americans (ARSMA) and the Bicultural Inventory (BI) both measure the extent to which Mexican Americans have adopted the Anglo/English culture.  These tests were compared by administering both tests to 22 Mexican Americans.  Both tests have the same range of scores (1.00 to 5.00) and are scaled to have similar means for the groups used to develop them.  There was a high correlation between the two scores, giving evidence that both are measuring the same characteristics.  The researchers wanted to know whether the population mean difference in scores for the two tests is 0.  The differences in scores (ARSMA – BI) for the 22 participants had a mean of 0.2519 and standard deviation of 0.2767.

  1. Carry out a significance test to help answer the researcher’s question.
  2. Construct and Interpret a 95% confidence interval for the mean difference in scores on the two tests.
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