According to the article "Are Babies Normal?" by Traci Clemons
and Marcello Pagano published in The American Statistician, Vol.
53, No. 4, pp. 298-302, the birth weights of babies are normally
distributed with a mean of 3365 grams and a standard deviation of
576 grams.
a. What is the probability that a randomly selected baby weighs
between 3100 grams and 3600 grams? Round your answer to 4 decimal
places.
b. If we randomly select 11 babies and average their weights, write
about and check each of the conditions needed to use the Central
Limit Theorem in context.
Conditions:
c. What is the probability that the average weight of 11 randomly
selected babies is between 3100 grams and 3600 grams? Round your
answer to 4 decimal places.
d. Why did the probability increase?
- According To The Article Are Babies Normal By Traci Clemons And Marcello Pagano Published In The American Statisticia 1 (147.14 KiB) Viewed 63 times
According to the article "Are Babies Normal?" by Traci Clemons and Marcello Pagano published in The American Statistician, Vol. 53, No. 4, pp. 298-302, the birth weights of babies are normally distributed with a mean of 3365 grams and a standard deviation of 576 grams. a. What is the probability that a randomly selected baby weighs between 3100 grams and 3600 grams? Round your answer to 4 decimal places. b. If we randomly select 11 babies and average their weights, write about and check each of the conditions needed to use the Central Limit Theorem in context. Conditions: C. What is the probability that the average weight of 11 randomly selected babies is between 3100 grams and 3600 grams? Round your answer to 4 decimal places. d. Why did the probability increase? The probability increased since the sample size increased and the distribution of sample means is more spread out. The probability increased since the sample size increased and the sample means are more concentrated near the mean of 3365 grams.