Question

In: Statistics and Probability

In the Journal of American Pediatric Health researchers report that the weights of healthy babies born...

In the Journal of American Pediatric Health researchers report that the weights of healthy babies born in the United States form a distribution that is nearly Normal with an average weight of 7.25 pounds and standard deviation of 1.75 pounds.

(a) [1] What is the probability that a randomly selected a healthy newborn weights less than 8.50 pounds?

(b) [1] What is the probability that a randomly selected a healthy newborn weights between 5.5 and 9 pounds?

(c) [2] What is the minimum weight in order to be the top 15% weighted healthy newborns?

(d) [2] If we randomly selected 16 newborns, describe the distribution of the average weight of this sample newborns. Write down the values of mean and standard deviation for this distribution as well.

(e) [2] Find the probability that the average weight of the randomly selected 16 newborns is greater than 8.1 pounds.

Expert Solution

a)

b)

c) the minimum weight in order to be the top 15% weighted healthy newborns .this 15% is equal to the 15 percentile

d)

Sample mean = 7.25

Standard deviation =

Standard deviation = 0.4375

e)

PL??

orchestra answered 2 years ago

The table below contains the birth weights in grams of 26 African American babies born at...

The table below contains the birth weights in grams of 26 African American babies born at BayState Medical Center in Springfield, Massachusetts in 1986. Compute a 95% confidence interval for birth weight. Directions: Click on the Data button below to display the data. Copy the data into a statistical software package and click the Data button a second time to hide it. Data Weight 2508 2774 2927 2951 2910 2961 2960 3047 3030 3352 3416 3392 3477 3789 3857 1174...

1. A pediatric nurse is studying the number of babies born at a hospital with congenital...

1. A pediatric nurse is studying the number of babies born at a hospital with congenital defects. Data shows that on the average, one baby with a congenital defect is born per month. a. Find the probability that at least two babies are born with congenital defects in one year. b. Find the probability that exactly twelve or exactly fifteen babies are born with congenital defect in five months.

A) The weights (in pounds) of babies born at a certain hospital last month are summarized...

A) The weights (in pounds) of babies born at a certain hospital last month are summarized in the table. Find the class limits for the second class. Weight (lb) Number of Babies 5−6 7 6.1−7.1 18 7.2−8.2 19 8.3−9.3 10 9.4−10.4 5 what is the upper and lower limit? B) Health care issues are receiving much attention in both academic and political arenas. A sociologist recently conducted a survey of citizens over 60 years of age whose net worth is...

babies at risk weights of new born babies in the United States are normally distributed with a mean of 3420 g

1) babies at risk weights of new born babies in the United States are normally distributed with a mean of 3420 g and a standard deviation of 495(based on data from "birth weight and prenatal mortality" by Wilcox et al., journal of the American medical association, via. 273 No.9). A newborn weighing less than 2200 g is considered to be at risk, because the mortality rate for this group is at least 1%. what percentage of newborn babies are...

Baby weights: According to a recent National Health Statistics Report, the weight of male babies less...

Baby weights: According to a recent National Health Statistics Report, the weight of male babies less than 2 months old in the U.S. is normally distributed with mean 11.5 pounds and standard deviation 2.7 pounds. a. What proportion of babies weigh more than 13 pounds? b. What proportion of babies weigh less than 15 pounds? c. What proportion of babies weigh between 10 and 14 pounds? d. Is it unusual for a baby to weigh more than 17 pounds?

The birth weights of full term babies born in Sydney are normally distributed. The management of...

The birth weights of full term babies born in Sydney are normally distributed. The management of a Sydney hospital is considering the resources needed to care for low birth-weight babies, and to this end, an analyst is doing some preliminary research on the distribution of birth-weights. a. The analyst obtained a random sample of the weights of 51 full term babies recently born in Sydney. The sample mean was 2.98 kg and the sample standard deviation was 0.39 kg. Calculate...

R programming Babies born in the US have birth weights that are approximately normally distributed with...

R programming Babies born in the US have birth weights that are approximately normally distributed with mean 3.339 kg and standard deviation 0.573 kg. Using R, determine: a) What fraction of babies are more than 1.5 standard deviations from the mean in either direction? b) What fraction of babies are more than 1.5 kg from the mean in either direction? c) If you took a random sample of 100 babies, what is the probability that their mean weight Y is...

The weights of American newborn babies are normally distributed with a mean of 119.54 oz (...

The weights of American newborn babies are normally distributed with a mean of 119.54 oz ( about 7 pounds 8 ounces) and a population standard deviation of .61 oz. A sample of 11 newborn babies is randomly selected from the population. (a) find the standard error of the sampling distribution. Round your answer to 4 decimal places. (b) Using your answer to part (a), what is the probability that in a random sample of 11 newborn babies, the mean weight...

When birth weights were recorded for a simple random sample of 16 male babies born to...

When birth weights were recorded for a simple random sample of 16 male babies born to mothers taking a special vitamin supplement, the sample had a mean of 3.675 kilograms and a standard deviation of 0.657 kilogram. The birth weights for all babies are assumed to normally distributed. Use a 0.05 significance level to test the claim that the mean birth weight for all male babies of mothers taking the vitamin supplement is different from 3.39 kilograms, which is the...

2. The weights of American newborn babies are normally distributed with a mean of 119.54 oz...

2. The weights of American newborn babies are normally distributed with a mean of 119.54 oz (about 7 pounds 8 ounces) and a population standard deviation of 0.67 oz. A sample of 14 newborn babies is randomly selected from the population. (a) Find the standard error of the sampling distribution. Round your answer to 4 decimal places. (b) Using your answer to part (a), what is the probability that in a random sample of 14 newborn babies, the mean weight...