in the united states, birth weights of newborn babies are approximately normally distributed with a mean of…

in the united states, birth weights of newborn babies are approximately normally distributed with a mean of $mu = 3,500$ g and a standard deviation of $sigma = 500$ g. according to the empirical rule, 68% of all newborn babies in the united states weigh between 3000 g and 4000 g. complete 95% of all newborn babies in the united states weigh between and.

in the united states, birth weights of newborn babies are approximately normally distributed with a mean of $mu = 3,500$ g and a standard deviation of $sigma = 500$ g. according to the empirical rule, 68% of all newborn babies in the united states weigh between 3000 g and 4000 g. complete 95% of all newborn babies in the united states weigh between and.

Answer

Explanation:

Step1: Recall empirical - rule for normal distribution

For a normal distribution, about 95% of the data lies within 2 standard - deviations of the mean.

Step2: Calculate the lower bound

The formula for the lower bound is $\mu - 2\sigma$. Given $\mu = 3500$ g and $\sigma = 500$ g, then $\mu - 2\sigma=3500 - 2\times500=3500 - 1000 = 2500$ g.

Step3: Calculate the upper bound

The formula for the upper bound is $\mu + 2\sigma$. So, $\mu + 2\sigma=3500+2\times500 = 3500 + 1000=4500$ g.

Answer:

2500 g, 4500 g