We have a data set (n=100) with hormone concentrations and the frequency of each value. Assuming normal (continuous) distributions, We need to determine the parameters of the continuous probability distribution functions.

Cheyanne Leigh 2020-11-26 Answered
We have a data set (n=100) with hormone concentrations and the frequency of each value. Assuming normal (continuous) distributions, We need to determine the parameters of the continuous probability distribution functions.
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ottcomn
Answered 2020-11-27 Author has 97 answers
Step1
Let us suppose X1,X2,.,X100 are samples from normal distribution
with mean μandvarianceσ2
Hence, XiN(μ,σ2)
Here note that μandσ2 are the parameters of the probability distribution
Now, You have calculated mean, Variance, and standard deviation of the samples.
Sample mean,X=1100iXi,
sample variance , S2=11001i=1100(Xix)2Now,E(x)=1100
i(Xi)=1100×100×μ=μ
and it can be shown E(S2)=σ2
Step 2
Hence, the sample mean and sample variance are the estimates of the population parameter μandσ2
The parameters of the probability distribution will be sample mean that you have calculated and sample variance that you have calculated.

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