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Cushing's disease is characterized by muscular weakness due to adrenal or pituitary dysfunction. To provide effective treatment, it is important to detect childhood Cushing's disease as early as possible. Age at onset of symptoms and age at diagnosis (months) for 15 children suffering from the disease were given in an article. Here are the values of the differences between age at onset of symptoms and age at diagnosis.
 
-22  -11  -57  -16  -31  -62  -15  -23 
-48  -12  -24  -51  -63  -70  -79 
 
(b) Carry out a test of hypotheses to decide whether there is compelling evidence for concluding that on average diagnosis occurs more than 25 months after the onset of symptoms. (Use \alpha=0.05. Use age at onset of symptoms - age at diagnosis.)
State the appropriate hypotheses.
 
 
 
Calculate the test statistic and P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.)
         t = _________
P-value =  _________
 

 

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