Question

The birth weight of newborn babies is normally distributed with a mean of 7.5 lbs and...

The birth weight of newborn babies is normally distributed with a mean of 7.5 lbs and a standard deviation of 1.2 lbs.

a. Find the probability that a randomly selected newborn baby weighs between 5.9 and 8.1 pounds. Round your answer to 4 decimal places.

b. How much would a newborn baby have to weigh to be in the top 6% for birth weight? Round your answer to 1 decimal place.

Homework Answers

Answer #1

a)

Let X denote the weight of the newborn (in lbs).

Then

Required probability =

b)

We want find 'x' such that

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Birth weight, in grams, of newborn babies are normally distributed with a mean of 3290 grams...
Birth weight, in grams, of newborn babies are normally distributed with a mean of 3290 grams and a standard deviation of 520 grams. Find the percentage of newborns that weigh between 3000 and 4000 grams. Consider again the birth weights of newborn babies, where the mean weight is 3290 grams and the standard deviation is 520 grams. Find the weight, in grams, that would separate the smallest 4% of weights of newborns from the rest.
Suppose that the birth weights of infants are Normally distributed with mean 120 ounces and a...
Suppose that the birth weights of infants are Normally distributed with mean 120 ounces and a standard deviation of 18 ounces. (Note: 1 pound = 16 ounces.) a) Find the probability that a randomly selected infant will weight less than 5 pounds. b) What percent of babies weigh between 8 and 10 pounds at birth? c) How much would a baby have to weigh at birth in order for him to weight in the top 10% of all infants? d)...
It is known that the birth weight of newborn babies in the U.S. has a mean...
It is known that the birth weight of newborn babies in the U.S. has a mean of 7.1 pounds with a standard deviation of 1.5 pounds. Suppose we randomly sample 36 birth certificates from the State Health Department, and record the birth weights of these babies.    The sampling distribution of the average birth weights of random samples of 36 babies has a mean equal to ______ pounds and a standard deviation of ______ pounds. What is the probability the...
It is known that the birth weight of newborn babies in the U.S. has a mean...
It is known that the birth weight of newborn babies in the U.S. has a mean of 7.1 pounds with a standard deviation of 1.5 pounds. Suppose we randomly sample 36 birth certificates from the State Health Department, and record the birth weights of these babies. The sampling distribution of the average birth weights of random samples of 36   babies has a mean equal to ______ pounds and a standard deviation of ______ pounds. What is the probability the average...
4. Suppose the birth weights of babies in the USA are normally distributed, with mean 7.47...
4. Suppose the birth weights of babies in the USA are normally distributed, with mean 7.47 lb and standard deviation 1.21 lb. a. Find the probability that a randomly chosen baby weighed between 6.4 and 8.1 pounds. (Show work.) b. Suppose a hospital wants to try a new intervention for the smallest 4% of babies (those with the lowest birth weights). What birth weight in pounds is the largest that would qualify for this group? (Show your work.)
Suppose birth weights of human babies are normally distributed with a mean of 120 ounces and...
Suppose birth weights of human babies are normally distributed with a mean of 120 ounces and a stdev of 16 ounces (1lb = 16 ounces). 1. What is the probability that a baby is at least 9 lbs 11 ounces? 2. What is the probability that a baby weighs less than 10 lbs (160 ounces)? 3. What weight is the 90th percentile?
Newborn baby boys weigh, on average, 7.5 pounds, with a standard deviation of 2 pounds. A...
Newborn baby boys weigh, on average, 7.5 pounds, with a standard deviation of 2 pounds. A group of pediatricians want to implement special treatments for newborn baby boys in the bottom 25% birth weight. Use Excel to find the weight of babies that will indicate they need the special treatment if the pediatricians look at a sample of 100 newborns. Round the σx¯ and x¯ to two decimal places.
14)The average weight of a newborn baby is 7.9 pounds with standard deviation 0.7 pounds. Suppose...
14)The average weight of a newborn baby is 7.9 pounds with standard deviation 0.7 pounds. Suppose the weight of babies is approximately Normally distributed. a) What percentage of babies will have a birth weight between 6.5 and 9.3 pounds? Round to 2 decimals. b)If a newborn’s weight is in the top 5% of all babies, then what is their weight at birth? Round to 2 decimals
The weights for newborn babies is approximately normally distributed with a mean of 5.4 pounds and...
The weights for newborn babies is approximately normally distributed with a mean of 5.4 pounds and a standard deviation of 1.6 pounds. Consider a group of 1100 newborn babies: 1. How many would you expect to weigh between 3 and 8 pounds? 2. How many would you expect to weigh less than 7 pounds? 3. How many would you expect to weigh more than 6 pounds? 4. How many would you expect to weigh between 5.4 and 9 pounds? HINT:...
Birth weights of newborn babies follow a normal distribution with mean of 3.39 kg and standard...
Birth weights of newborn babies follow a normal distribution with mean of 3.39 kg and standard deviation of 0.55 kg. Use a table of Z ‑critical values to find the probability that a newborn baby weighs less than 2.125 kg. Give your answer as a percentage rounded to two decimal places. Probability: