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3. The mean length of time it takes for a broken arm to heal is normally...

3. The mean length of time it takes for a broken arm to heal is normally distributed with a mean of 44 days and a standard deviation of 7 days.

a) Find the probability one person with a broken arm will heal in over 38 days?
b) Find the probability from a sample of 45 people with broken arms that the average time for the sample of 45 to heal is over 38 days?
c) Why is your answer for part b) greater than the answer for part a)?
d) Give an example of an interval that could have been used in parts a) and b) so that the answer for b) is less than the answer for a)?
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