Question1. It is known that birth weights in the United States are normally distributed with a...

Question1. It is known that birth weights in the United States are normally

distributed with a mean of 3369 g and a standard deviation of 567 g. A premature or low-birth-

weight baby is often defined as a newborn baby whose birth weight is 2,500 g or less.

(i). What is the probability a baby will be born with low birth weight?

(ii). If a hospital typically has cribs for 100 newborn babies, what is the probability that average

birth weight of 100 newborns is greater than 3,500 g?

(iii). What is the 90% percentile of the average weights for 100 newborn babies?

(iv). If the shape of the distribution of birth weights is not normal (the mean and the standard

deviation remain the same), would the calculation in (ii) and (iii) still be valid? Why or why not?

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

In the United States, birth weights are normally distributed, with a mean of 3420g and a...

In the United States, birth weights are normally distributed, with a mean of 3420g and a standard deviation of 495g. If a hospital plans to establish special observation conditions for the 2% of babies less, what weight would be used to establish a cut-off point that separates 2% of the babies less heavy from the others?

A simple random sample of birth weights in the United States has a mean of...

A simple random sample of birth weights in the United States has a mean of 3433g. The standard deviation of all birth weights (for the population) is 495g. If this data came from a sample size of 75, construct a 95% confidence interval estimate of the mean birth weight in the United States. If this data came from a sample size of 7,500, construct a 95% confidence interval estimate of the mean birth weight in the United States. Which...

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...

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...

A process is known to produce bricks whose weights are normally distributed with standard deviation 0.12...

A process is known to produce bricks whose weights are normally distributed with standard deviation 0.12 pounds. A random sample of sixteen bricks from today's output had a mean weight of 4.07 pounds. Find a 99% confidence interval for the mean weight of all bricks produced today. (6) Without doing the calculations, state whether a 95% confidence interval for the population mean would be wider than, narrower than, or the same width as that found in (a). (2) It is...

Historically, weights of polar bears have been known to be Normally Distributed with a population mean...

Historically, weights of polar bears have been known to be Normally Distributed with a population mean of approx. 550 kg and a standard deviation of about 110 kg. Researchers are studying the effect of climate change on these animals; their hypothesis is that, because of the diminishing size of their feeding habitats, the average polar bear will be smaller than in the past. 1.) What is the probability that a randomly selected polar bear would weigh less than 480 kg?...

According to actuarial tables, life spans in the United States are approximately normally distributed with a...

According to actuarial tables, life spans in the United States are approximately normally distributed with a mean of about 75 years and a standard deviation of about 16 years. 1) Find the probability that a randomly selected person lives between 60 less than 90 years. 2) Find the probability that a randomly selected person lives less than 50 years or more than 100 years. 3) Find the probability that a randomly selected person lives exactly 75 years. 4) What age...

It is known that the weight of a typical cellphone is normally distributed with a known...

It is known that the weight of a typical cellphone is normally distributed with a known standard deviation. In a random sample of 15 cell phones, the sample mean weight was 155.7 g. Moreover, it is known that (146.59 ,164.81) is a 95% confidence interval for the true mean weight of this type of cell phones. a) Find the value of the point estimate of the mean weight of all cell phones of this type. b) Construct a 90% confidence...

The weights of the fish in a certain lake are normally distributed with a mean of...

The weights of the fish in a certain lake are normally distributed with a mean of 20 lb and a standard deviation of 9. If 9 fish are randomly selected, what is the probability that the mean weight will be between 17.6 and 23.6 lb? Write your answer as a decimal rounded to 4 places.

Subjects