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In: Statistics and Probability

According to the article "Are Babies Normal?" by Traci Clemons and Marcello Pagano published in The...

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 3306 grams and a standard deviation of 586 grams.

What is the probability that a randomly selected baby weighs between 3200 grams and 3700 grams? Round your answer to 4 decimal places.

What is the probability that the average weight of 21 randomly selected babies is between 3200 grams and 3700 grams? Round your answer to 4 decimal places.

Why did the probability increase?

A)The probability increased since the sample size increased and the distribution of sample means is more spread out.

B)The probability increased since the sample size increased and the sample means are more concentrated near the mean of 3306.

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Expert Solution

orchestra answered 1 year ago
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