10. Continuing with the same population in Question 7, let us consider the case where we...

10. Continuing with the same population in Question 7, let us consider the case where we picked a sample of size 14. (Do not worry

about the fact that it is stupid to have a sample of size 14 when the population has only 4 people in it.) What is the standard error

(deviation) of the sampling distribution of the mean?

11. You need to clean out a fish tank, so you get a small bowl to take out all the fish one at a time. You have 20 betta fish and 5 gold

fish. Assuming that each fish in the tank has an equal likelihood of being taken out, is the probability of getting a certain number of betta

fish in the first four draws a binomial distribution? Please explain.

Solutions

Expert Solution

Q10

Standard error (deviation) of the sampling distribution of the mean

= (Population Standard deviation)/√14 ANSWER

[unable to provide a numerical answer since Population Standard deviation is not indicated in ht equestion]

Q10

No, it will not be a Binomial Distribution. It will be a case of Hypergeometric Distribution.

Suppose the number of fish in the tank is n, of which k are of beta fish and p is the probability of getting a beta fish in any draw.

Since fish are taken out one at time, p = k/n for the first draw, but p = (k - 1)/(n - 1). Thus, p does not remain constant from draw to draw.

Important condition for application of Binomial Distribution is that p should remain constant over the draws.

In this case, Hypergeometric Distribution is most appropriate. ANSWER

[Going beyond, if the draws were with replacement, then the distribution is Binomial. Also, if n is considerably large in comparison to k so that (k/n) is virtually equal to {(k - 1)/(n - 1)}, Binomial can be applied]

orchestra answered 1 year ago

Next > < Previous

Related Solutions

(a) Let us consider CH4 combustion in air with an equivalence ratio of 0.9, where we...

(a) Let us consider CH4 combustion in air with an equivalence ratio of 0.9, where we have air flow rate of 400 kg/s. (1) calculate the required flow rate of CH4 (in kg/s), the air-to-fuel ratio on mole basis, and the mole and mass fractions of CO2, H2O, O2, N2 in the product stream. (2) If reactants enter the combustion chamber at 790K, and the products are found to leave the chamber at 1900K, calculate the net heat loss from...

Let us consider the case of John, an entrepreneur and the CEO of a startup, named...

Let us consider the case of John, an entrepreneur and the CEO of a startup, named “Home Service”. The company started a small scale service where a couple of signed-up workers of the company were giving various services to the dweller of Ballarat, a city in Victoria. The services include plumbing, electric works, gas appliances’ works, and car wash. The people are Ballarat dwellers (roughly 20k in total) needed to download the software from App Store/Google Store and try to...

7. Let us assume that what we want is to know whether the wines of the...

7. Let us assume that what we want is to know whether the wines of the designation of origin have the same alcoholic content, as well as their variability in the same, as those of another designation of origin, for example Baja California. It is a question of whether there is a clear differentiation in these two regions, because of the geographical proximity of the two regions, it is possible that there will be fraud and that wines from both...

Suppose we have an economy where the population is the same every period, Nt = N...

Suppose we have an economy where the population is the same every period, Nt = N and the money supply is increasing by z each period, i.e., Mt = zMt−1. The government uses the money it creates each period to finance a lump-sum subsidy of a ∗ goods to each old person. (a) (10 points) Find the equation for the budget set of an individual in the monetary equilibrium. Graph it. Show an arbitrary indifference curve tangent to the set...

##The same researchers from the Population Council are continuing their investigation of the focal relationship between...

##The same researchers from the Population Council are continuing their investigation of the focal relationship between GDP per capita and fertility rates across countries. In order to confirm the existence of the focal relationship, they decide to control for countries’ population size. The researchers suspect that larger populations could influence both GDP and birth rates (TFR) (but they hope this is not true, because it could invalidate the focal relationship). The researchers conduct a multivariate regression by adding a measure...

let us consider the case of a bonding electron in a diatomic molecule using molecular orbital...

let us consider the case of a bonding electron in a diatomic molecule using molecular orbital theory. Given that the probabilities of finding the electron in atomic orbitals ?A and ?B are 1/3 and 2/3, respectively, what is the LCAO-MO wavefunction for the electron? (Neglect the overlap integral as a simplifying approximation)

Consider a case of single slit diffraction where we are directing a beam of light (of...

Consider a case of single slit diffraction where we are directing a beam of light (of wavelength λ) through a single slit of unknown width “D”. The pattern will be observed on a screen a distance L from the slit. We will be able to take measurements of the pattern on the screen. Sketch the pattern you would expect to see and derive an expression to relate a characteristic length of the pattern on the screen to the width of...

Consider a population with mean 100 and standard deviation of 10. If we randomly select a...

Consider a population with mean 100 and standard deviation of 10. If we randomly select a data point from the population, what is the probability that the point will be between 90 and 110? (Hint: consider the Z-scores)? What percentage of the population lies between 900 and 1100?

Let ?+?+?=7 where ?,?,?∈ℝ. Prove that ?^2+?^2+?^2≥7/3

Answer the following question after reading over the case studybelow. Case 10 Two-Tier Wages—Same Job,...

Answer the following question after reading over the case study below. Case 10 Two-Tier Wages—Same Job, Different Pay When domestic auto manufacturers were hit hard by recession and foreign competition, they struggled to control costs and maintain profitability. One response was a two-tier wage system paying new workers significantly less than existing ones doing the same job. What is the future for two-tier wage systems? A New Labor Contract At Ford, General Motors, and Chrysler manufacturing plants across the United...

Subjects