A health researcher wants to determine the effectiveness of a new blood pressure medication.  As the medicine is new, 37 respondents volunteered to try the medicine.  The average blood pressure of the 37 respondents was 124mmHg with a standard deviation fo 10mmHg.  Assume blood pressure is normally distributed. Calculate a 95% confidence interval for the blood pressure range of any individual who is prescribed the medicine.   Suppose the researcher was able to get 200 volunteers for the medicine.  The average blood pressure of the volunteers was 123 with a standard deviation of 10.  Compute a 95% confidence interval for the average blood pressure range of any individual that will take the blood pressure medication.   Which interval would be preferred?

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