Suppose you measure the blood pressure of 100 hypertensive females and find that they have a mean systolic blood pressure of 133 mm Hg with a variance of 9 mm Hg. You later discover that your blood pressure monitor was calibrated incorrectly. To adjust for this mistake, you add 5 mm Hg to each female's systolic blood pressure. What is the standard deviation of the new data shifted by 5 mmHg?
How would I go about this with a mathematical breakdown?
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