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Statistics - Probability - random sample

The mean weight of newborn babies in a Long Island Community is 7.5 lbs with a standard deviation of 1.4 lbs. What is the probability that a random sample of 49 babies has a sample mean weight of at least 7.2lbs?

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The step by step solution to the above posted problem is given in attached solution file using all the required formulas and procedure. The student can use this solution as model solution to solve other similar type problems.