Dan works in an insurance company. Last January, he was able to insure 3 persons. Last February, he was able to insure 8 persons. Last March, he was able to insure 10 persons. Last April, he was able to insure 15 persons. Assume that the samples of size are randomly selected without replacement. Find the following:
a. The population mean
b. The population variance
c. The population standard deviation
d. The mean of the sampling distribution of means
e. The standard deviation of the sampling distribution of the sample means
1
Expert's answer
2021-06-20T18:55:25-0400
We have population values 3,8,10,15 population size N=4 and sample size n=2.
a.
Population mean
mean=μ=ni=1∑nxi
μ=43+8+10+15=9
b.
Population variance
σ2=ni=1∑n(xi−μ)2
σ2=41((3−9)2+(8−9)2+(10−9)2
(15−9)2)=474=18.5
c.
Population standard deviation
σ=σ2=474=274≈4.301163
Var(Xˉ)=∑Xˉ2f(Xˉ)−(∑Xˉf(Xˉ))2
d.
The number of possible samples which can be drawn without replacement is
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