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 μ = 3,500 g and a standard deviation of σ = 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 done

in the united states, birth weights of newborn babies are approximately normally distributed with a mean of μ = 3,500 g and a standard deviation of σ = 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 done

Answer

Answer:

2500 g, 4500 g

Explanation:

Step1: Recall empirical - rule for 95%

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

Step2: Calculate lower bound

Lower bound = $\mu - 2\sigma$. Given $\mu = 3500$ g and $\sigma = 500$ g. So, $3500-2\times500=3500 - 1000=2500$ g.

Step3: Calculate upper bound

Upper bound = $\mu + 2\sigma$. So, $3500 + 2\times500=3500+1000 = 4500$ g.