Homework Answers
We will take a simple random sample of size n from a population.
R code is below (all statement starting with # are comments)
The function
![#function to take r 3amples of 31ze n, and draw the histogram of means # input : population from which sample needs to be extracted n- sample size rep= number of repetion DrawH1st<-function (p,n, r) { #Initialize a variable to hold sample mean xbar<-numeric(r) #repeat rep number of times for (i in 1:r) i #take a simple random sample x<-sample (p, size=n, replace=FALSE) #calculate the sample mean xbar[i]<-mean (x) #draw the histogram hist (xbar, main-Histogram of sample mean,xlab-Sample mean) #3et the random number seed set.seed (123) #set the sample size n<-10 #set the number of repetions rep<-10000 #call the function for trees$Volume DrawHist (trees$Volume,n, rep)](http://img.homeworklib.com/questions/d567e630-43ed-11ea-bb6f-7bfd3afe7198.png?x-oss-process=image/resize,w_560)
Get the following histogram
We know that from the central limit theorem, the sampling distribution of mean approximates a normal distribution. We also know that the mean of the sampling distribution of mean is equal to the population mean.
The histogram plotted has a bell shape and hence the sampling distribution of mean approximates a normal curve.
The population mean of the trees$Volume is obtained using
mean(trees$Volume)
We get the population mean of Volume=30.17. We can see that the histogram has a mean at around 30
Add Answer to:
a) Write a function 1) Take a simple random sample from a population of size n....
Simple random sampling uses a sample of size n from a population of size N to...
Simple random sampling uses a sample of size n from a population of size N to obtain data that can be used to make inferences about the characteristics of a population. Suppose that, from a population of 58 bank accounts, we want to take a random sample of four accounts in order to learn about the population. How many different random samples of four accounts are possible?
Simple random sampling uses a sample of size n from a population of size N to...
Simple random sampling uses a sample of size n from a population of size N to obtain data that can be used to make inferences about the characteristics of a population. Suppose that, from a population of 60 bank accounts, we want to take a random sample of nine accounts in order to learn about the population. How many different random samples of nine accounts are possible?
Simple random sampling uses a sample of size n from a population of size N to...
Simple random sampling uses a sample of size n from a population of size N to obtain data that can be used to make inferences about the characteristics of a population. Suppose that, from a population of 60 bank accounts, we want to take a random sample of six accounts in order to learn about the population. How many different random samples of six accounts are possible?
A. Suppose you take a sample of size n from a population and calculate a statistic...
A. Suppose you take a sample of size n from a population and calculate a statistic from that sample. The statistic could be a sample proportion p, a sample mean x, or another statistic. Then suppose we repeat this process over and over again until we find all possible samples of size n from the population (this is a theoretical idea) and we calculate the same statistic from 1. each sample. The collection of all of the statistics calculated is...
A simple random sample of size n = 20 is drawn from a population that is...
A simple random sample of size n = 20 is drawn from a population that is normally distributed. The sample mean is found to be x = 66 and the sample standard deviation is found to be s = 10. Construct a 90% confidence interval about the population mean.
A simple random sample of size n = 40 is drawn from a population. The sample...
A simple random sample of size n = 40 is drawn from a population. The sample mean is found to be x= 120.9 and the sample standard deviation is found to be s = 12.1. Construct a 99% confidence interval for the population mean. The lower bound is (Round to two decimal places as needed.)
you take a random sample size of 1500 from population 1 and a random sample size...
you take a random sample size of 1500 from population 1 and a random sample size of 1500 from population two. the mean of the first sample size is 76; the sample standard deviation is 20. the mean of the second sample is 62; the sample standard deviation is 18. construct the 90% confidence interval estimate of the difference between the means of the two populations representwd here and report both the upper and lower bound of the interval.
A simple random sample of size n is drawn from a population that is normally distributed....
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 106, and the sample standard deviation, s, is found to be 10. (a) Construct a 90% confidence interval about u if the sample size, n, is 22. (b) Construct a 90% confidence interval about u if the sample size, n, is 27. (c) Construct a 99% confidence interval about u if the sample size, n, is...
A simple random sample of size n is drawn from a population that is normally distributed....
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 115, and the sample standard deviation, s, is found to be 10 (a) Construct a 98% confidence interval about if the sample size, n, s 14 (b) Construct a 98% confidence interval about μ if the sample size, n, is 19 (c) Construct a 99% confidence interval about if the sample size, n, s 14 (d)...
simple random sample of size n= 40 is drawn from a population. The sample mean is...
simple random sample of size n= 40 is drawn from a population. The sample mean is found population mean. be x 120.6 and the sample standard deviation is found to be s 12.6. Construct a 99% confidence interval for the The lower bound is (Round to two decimal places as needed.)
A. Suppose you take a sample of size n from a population and calculate a statistic from that sample. The statistic could be a sample proportion p, a sample mean x, or another statistic. Then suppose we repeat this process over and over again until we find all possible samples of size n from the population (this is a theoretical idea) and we calculate the same statistic from 1. each sample. The collection of all of the statistics calculated is...
A simple random sample of size n = 40 is drawn from a population. The sample mean is found to be x= 120.9 and the sample standard deviation is found to be s = 12.1. Construct a 99% confidence interval for the population mean. The lower bound is (Round to two decimal places as needed.)
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 106, and the sample standard deviation, s, is found to be 10. (a) Construct a 90% confidence interval about u if the sample size, n, is 22. (b) Construct a 90% confidence interval about u if the sample size, n, is 27. (c) Construct a 99% confidence interval about u if the sample size, n, is...
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 115, and the sample standard deviation, s, is found to be 10 (a) Construct a 98% confidence interval about if the sample size, n, s 14 (b) Construct a 98% confidence interval about μ if the sample size, n, is 19 (c) Construct a 99% confidence interval about if the sample size, n, s 14 (d)...
simple random sample of size n= 40 is drawn from a population. The sample mean is found population mean. be x 120.6 and the sample standard deviation is found to be s 12.6. Construct a 99% confidence interval for the The lower bound is (Round to two decimal places as needed.)
Most questions answered within 3 hours.
-
develop an automated invoice generator that helps a shop owner
to design their invoice. Problem 1...
asked 5 minutes ago -
2. Binomial Distribution Suppose I have an unfair coin, it lands
on heads 75% of the...
asked 19 minutes ago -
negotiators with absolutely no alternative to a negotiated
agreement sometimes.
a. become hostile and end the...
asked 18 minutes ago -
Write a Verilog program that tests whether a 4-bit input
variable is a Fibonacci number or...
asked 27 minutes ago -
MYSQL
Consider the sql statement "select * from t1 UNION t2" where t1
and t2 are...
asked 30 minutes ago -
2. A retailer sells 10,000 units at $10. Each unit costs the
retailer $7.00 to sell,...
asked 32 minutes ago -
If the Stratosphere elevator in Las Vegas is 500 m above the
ground when the cables...
asked 45 minutes ago -
identify at least one other characteristics of the soils/sand
that may have impacted the growth of...
asked 51 minutes ago -
True or False
The following statements refer to The Web of Belief
10. An explanation of...
asked 53 minutes ago -
15)___________ A study was conducted to
test the effectiveness of aspirin on reducing
asked 1 hour ago -
How fast must a centrifuge spin if a particle 8 cm from the axis
of rotation...
asked 1 hour ago -
Which of the following is characteristic of a single exposure
common vehicle outbreak?
a. Wide range...
asked 1 hour ago