Using your result obtained in g derive for each sample in

Assignment Help Basic Statistics

Reference no: EM13240499

Consider the finite population of size N = 3, measurements on the variable x: {2, 3, 4}:

a. derive the population probability distribution for the variable x.

b. compute the population mean and standard deviation

c. Given the above population, sampling with replacement and considering order, how many samples of size n = 2 are possible?

d. derive all samples of n = 2 in the manner as described in c.

e. derive the sampling distribution of the mean as per your results obtained in d.

f. compute the expectation, E(m), or mean of the sampling distribution of the sample mean, m.

g. use the formula for the standard error of the mean

h. Using your result obtained in g, derive for each sample in your population of samples (cf., result obtained in d) a 90% confidence interval.

i. How many of your sample confidence interval cover the true population mean?

j. Does the nominal and actual confidence levels coincide or are they different?

Reference no: EM13240499

Questions Cloud

Czar alexander ii''s emancipation edict : Which of the following was NOT true after Czar Alexander II's emancipation edict?

Determine the scaling law based on the resulting equation : Use the ideal gas approach to find the thermal velocity, and determine the scaling law based on the resulting equation

What is the center of mass : The height of an empty can is H, and the mass M. The mass of a full can is m, What is the center of mass of the can as a function of x? h is the height from the bottom to the surface

Explain the total concentration of the conjugate acid : Describe how you would make 1 L of buffer with a pH of 5.00 using only pure materials and deionized water so that the total concentration of the conjugate acid/base pair is 0.200 M. Give the amounts of the pure materials in grams if they are solid..

Using your result obtained in g derive for each sample in : Using your result obtained in g, derive for each sample in your population of samples (cf., result obtained in d) a 90% confidence interval.

Calculate the electric force f between proton and electron : A proton and an electron are held apart a distance of one meter, Calculate the electric force F between them and Show the electric force vector on each of them

Define the ratio of bicarbonate carbonic acid at the ph : The pH of blood is 7.35. It is maintained in part by the buffer system composed of carbonic acid (H2CO3) and the bicarbonate (hydrogen carbonate, HCO3-) ion. What is the ratio of [bicarbonate]/[carbonic acid] at this pH

The average service time at cheeseplate restaurant : The average service time at CheesePlate Restaurant is 3.5 minutes with a standard deviation of .04 minutes. A new order system claims it can improve service time

Value of the population mean given that their is a sample : Create a 95%confidence interval for the value of the population mean, given that their is a sample mean of 49 and a standard deviation of 3 but now found those valuesfrom a sample of only 20 observations.test the hypothesis allowing for type 1 error ..

User Account

All Pages