Page 69 - Quantitative Data Analysis
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Quantitative Data Analysis
                                              Simply Explained Using SPSS


                                   Example # 2


               The researcher is interested in the study: do males have significantly
               a  higher  diastolic  blood  pressure  than  females?    A  sample  of  45
               females  has  a  mean  blood  pressure  of  71.8,  with  a  standard
               deviation of 11; a sample of 38 males has a mean blood pressure of
               74.9  with  a  standard  deviation  of  12.    Perform  the  test  at  a      Group 2: Females
                                                                                             ̅
               significance level of 0.01.





                               Group 1: Males      Group 2: Females
                               ̅                   ̅










                   a.  What type of test is appropriate? Independent -test

                   b.  Null Hypothesis             H 0: µ m = µ f

                   c.  Alternative Hypothesis      H a: µ m> µ f

                   d.  One- two-tailed test (if one-tailed, left or right):Right tailed

                   e.  What would be a Type I error in this study? Concluding that
                       male have significantly a higher diastolic blood pressure
                       than female while in reality they are not higher.

                   f.  What would be a Type II error in this study? Concluding that
                       male do not have significantly a higher diastolic blood
                       pressure than female while in reality they do have.


               The Theory and Applications of Statistical Inferences           53
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