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 3354 grams and a standard deviation of 588 grams. 1.What is the probability that a randomly selected baby weighs between 3100 grams and 3500 grams? Round your answer to 4 decimal places. 2.What is the probability that the average weight of 28 randomly selected babies is between 3100 grams and 3500 grams? Round your answer to 4 decimal places.

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 3354 grams and a standard deviation of 588 grams. 1.What is the probability that a randomly selected baby weighs between 3100 grams and 3500 grams? Round your answer to 4 decimal places. 2.What is the probability that the average weight of 28 randomly selected babies is between 3100 grams and 3500 grams? Round your answer to 4 decimal places.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

1.What is the probability that a randomly selected baby weighs between 3100 grams and 3500 grams? Round your answer to 4 decimal places.

2.What is the probability that the average weight of 28 randomly selected babies is between 3100 grams and 3500 grams? Round your answer to 4 decimal places.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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