According to a recent study, the weight of male babies less than two months old in the United States is normally distributed with mean 11.9 pounds and standard deviation 2.6 pounds. What proportion Of babies weigh more than 10.1 pounds?

Question

Quizplus · Accepted Answer

To find the proportion of babies weighing more than 10.1 pounds, we need to calculate the area under the normal curve to the right of 10.1. To do this, we can standardize the value using the formula:

z = (x - μ) / σ

where x is the given value (10.1), μ is the mean (11.9), and σ is the standard deviation (2.6). Thus,

z = (10.1 - 11.9) / 2.6 = -0.6923

Using a normal distribution table, we can find the area to the right of this z-score, which is equivalent to the proportion of babies weighing more than 10.1 pounds. The table value is 0.7549, which means that approximately 75.49% of male babies less than two months old in the United States weigh more than 10.1 pounds.

According to a Recent Study, the Weight of Male Babies