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Mathematics, 25.04.2020 04:47 libi052207
A common test of strength engaged in by high school students at Elmhurst HS is seeing how much weight they can lift from the floor to a standing position (called a "deadlift"). Assume the weight lifted in such a manner is normally distributed and has a mean of 225 lbs. with a standard deviation of 50 lbs.
(a) Find the probability that 1 randomly selected male student has the best lift less than 200 lbs.
(b) If a sample of 25 students is tested, find the probability the sample mean will be over 245 lbs.
(c) Why can the normal distribution be used in part b even though the sample size is < 30?
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