\"I posted the exactly same problem right before but by mistakeput wrong values.
ID: 2918738 • Letter: #
Question
"I posted the exactly same problem right before but by mistakeput wrong values. I put -1,2,2,4,8 but the Correct values were1,2,2,4,8. so here is the same problem with correctvalues."Consider a population consisting of five values 1,2,2,4 and 8.Find the population mean and variance. Calculate the samplingdistribution of the mean of a sample of size 2 by generating allpossible such samples. From them, find the mean and variance of thesampling distribution, and compare the results to Theorems A and Bin Section 7.3.1. "I posted the exactly same problem right before but by mistakeput wrong values. I put -1,2,2,4,8 but the Correct values were1,2,2,4,8. so here is the same problem with correctvalues."
Consider a population consisting of five values 1,2,2,4 and 8.Find the population mean and variance. Calculate the samplingdistribution of the mean of a sample of size 2 by generating allpossible such samples. From them, find the mean and variance of thesampling distribution, and compare the results to Theorems A and Bin Section 7.3.1.
Explanation / Answer
Solution: Population mean = (1+2+2+4+8)/5 = 17/5 = 3.4 Variance = 7.8 Sampling without replacement: Sample of size 2 taken from the population of fivevalues. Possible no.of samples = 5C2 = 10 Various possible samples(1,2),(1,2),(1,4),(1,8),(2,2),(2,4),(2,8),(2,4),(2,8(4,8), Mean of sample means =(1.5+1.5+2+2.5+4.5+3+3+5+5+6)/10 = 3.4 Variance of sampling distribution = 2.6 I dont have text book ; Can't refer theorems A andB
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