The records of the World Health Organization reveal that the mass of newborn babies is normally distributed with a mean of 2.75 kg and a variance of 0.886 kg. Researchers are interested in studying a random sample of 80 babies.
a) What is the mean of the sampling distribution?
b) What is the variance of the sampling distribution?
c) What is the standard error?
d) What is the probability that the mean for the sample of 80 babies will be greater than 3.2 kg?
e) What is the probability that the mean for the sample of 80 babies will be less than 1.5 kg?
f) If we are going to use a sample mean to predict the population mean, how can we increase the accuracy of the prediction? Substantiate your answer
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