At the downtown office of First National Bank there are 5 tellers. Last week the tellers made the following number of errors each: 2, 3, 5, 3, and 5. How many different samples of 2 tellers are possible? List all possible samples of size 2 and compute the mean of each Compute the mean of the sample means and compare it to the population mean. State the Central Limit Theorem.

Name: At the downtown office of First National Bank there are 5 tellers. Las
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Description: At the downtown office of First National Bank there are 5 tellers. Last week the tellers made the following number of errors each: 2, 3, 5, 3, and 5.How many different samples of 2 tellers are possible? List all possible samples of size 2 and compute

Number of errors made by teller are 2, 3, 5, 3, and 5. 1) How many different samples of 2 tellers are possible? Total number of tellers in the population is N=5 sample size n=2 Total number of possible sample size of 2 is Formula: Ncn=N!/(N-n)!n! =5!/(5-2)!2! =120/12 =10 Let Xi be the ith sample of size 2. so, Xi-bar=(Xi1+Xi2)/2 Result: The Total number of possible sample size of 2 is 10 2) List all possible samples of size 2 and compute the mean of each sample means of all possible samples of size 2 is given in the below table sample values sum ∑j Xij Mean Xi-bar 1 2.3 5 2.5 2 2.5 7 3.5 3 2.3 5 2.5 4 2.5 7 3.5 5 3.5 8 4 6 3.3 6 3 7 3.5 8 4 8 5.3 8 4 9 5.5 10 5 10 3.5 8 4 3)Compute the mean of the sample means and compare it to the population mean. Population mean(μ)=2+3+5+3+5/5 =18/5 Population mean(μ)=3.6 sampling distribution of the sampling mean n=2 is as follows Sample means Number of means Probability 2.5 2 0.2 3 1 0.1 3.5 2 0.2 4 4 0.4 5 1 0.1 The sample mean μxbar=sum of all sample means/total no of samples =(2.5*2+3*1+3.5*2+4*4+5*1)/10 =5+3+7+16+5/10 =36/10 sample mean μxbar =3.6 this shows that μxbar=μ Result: μxbar(3.6)=μ(3.6) 4)State the Central Limit Theorem: The Central limit theorem states that, if we have a population with mean μ and standard deviation σ and take sufficiently large random sample from population with replacement, then the distribution of sample means will be approximately normally distributed.

Answered: At the downtown office of First National Bank there are 5 tellers. Last week the tellers made the following number of errors each: 2, 3, 5, 3, and 5. How many…

MATLAB: An Introduction with Applications

6th Edition

ISBN: 9781119256830

Author: Amos Gilat

Publisher: John Wiley & Sons Inc

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At the downtown office of First National Bank there are 5 tellers. Last week the tellers made the following number of errors each: 2, 3, 5, 3, and 5.
1. How many different samples of 2 tellers are possible?
2. List all possible samples of size 2 and compute the mean of each
3. Compute the mean of the sample means and compare it to the population mean.
4. State the Central Limit Theorem.