Unbiased Estimates

Exercises for students
Solve the following problems on paper and check your working using the above applet:


Given Σx = 300, Σx2 = 1000 and sample size n = 100, find unbiased estimates of µ and σ2.


Given Σx = 300, Σ(x - mean)2 = 1000 and sample size n = 100, find unbiased estimates of µ and σ2.


Given Σ(x - 50) = 300, Σ(x - 50)2 = 1000 and sample size n = 100, find unbiased estimates of µ and σ2.


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