The birth weight of male babies in Poland is normally distributed with a mean of 3,603 grams and a standard deviation of 444 grams. A random sample of 68 male baby birth weights from Poland are selected for analysis. Q) There is a 90% chance that the sample mean will be more than how many grams? 2
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
![The birth weight of male babies in Poland is
normally distributed with a mean of 3,603
grams and a standard deviation of 444
grams. A random sample of 68 male baby
birth weights from Poland are selected for
analysis.
Q) There is a 90% chance that the sample
mean will be more than how many grams?
2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbbda2630-7969-4510-b100-facc9d49d3ac%2F494d33f4-2ddb-4413-b039-5f0ee12dfb3e%2Fsy7lmht_processed.jpeg&w=3840&q=75)
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