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. 95% of all newborn babies in the united states weigh between 2500 g and 4500 g. 99.7% of all newborn babies in the united states weigh between and done complete complete
Answer
Answer:
2000 g, 5000 g
Explanation:
Step1: Recall empirical - rule for normal distribution
For a normal distribution, 99.7% of the data lies within 3 standard - deviations of the mean.
Step2: Calculate lower bound
The mean $\mu = 3500$ g and the standard deviation $\sigma=500$ g. The lower bound is $\mu - 3\sigma=3500-3\times500 = 3500 - 1500=2000$ g.
Step3: Calculate upper bound
The upper bound is $\mu + 3\sigma=3500 + 3\times500=3500 + 1500 = 5000$ g.