Statistics for Sport and Health

Question
INDEPENDENT SAMPLES: An exercise physiologist is interested in examining the effect of a diabetes education intervention (designed to teach parents about healthy eating and physical activity) on the number of diabetes diagnoses that occur within the following year in a sample of pre-diabetic children.  A total of 12 families with pre-diabetic children are recruited.  Six families were in the diabetes education group and 6 were in the control group.  The number of diagnoses for each family are recorded in the Table below.




Family


Group


# of diagnoses in year 1




1


Diabetes education


10




2


Diabetes education


8




3


Diabetes education


5




4


Diabetes education


4




5


Diabetes education


6




6


Diabetes education


10




7


Control


7




8


Control


8




9


Control


9




10


Control


6




11


Control


5




12


Control


9




1. What is your null hypothesis for this research question?
2. Using an independent samples t-test, calculate the observed t-statistic from the data above in Excel.  Hint: You’ll need to calculate the mean and sum of squares for each group.
3. What is the critical t-value for this research question?  Hint: Use the table of critical values and the degrees of freedom to locate this value.  The alpha = 0.05.
4. What can you conclude based on your data?  Do you reject or fail to reject the null hypothesis?
 



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