Question

In: Statistics and Probability

In the Journal of American Pediatric Health researchers report that the weights of healthy babies born...

In the Journal of American Pediatric Health researchers report that the weights of healthy babies born in the United States form a distribution that is nearly Normal with an average weight of 7.25 pounds and standard deviation of 1.75 pounds.

(a) [1] What is the probability that a randomly selected a healthy newborn weights less than 8.50 pounds?

(b) [1] What is the probability that a randomly selected a healthy newborn weights between 5.5 and 9 pounds?

(c) [2] What is the minimum weight in order to be the top 15% weighted healthy newborns?

(d) [2] If we randomly selected 16 newborns, describe the distribution of the average weight of this sample newborns. Write down the values of mean and standard deviation for this distribution as well.

(e) [2] Find the probability that the average weight of the randomly selected 16 newborns is greater than 8.1 pounds.

Expert Solution

a)

b)

c) the minimum weight in order to be the top 15% weighted healthy newborns .this 15% is equal to the 15 percentile

d)

Sample mean = 7.25

Standard deviation =

Standard deviation = 0.4375

e)

PL??

orchestra answered 2 years ago

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