If X1 is the mean of a random sample of size n from a normal population with the mean u and the variance o, X2 is the mean of a random sample of size n from a normal population with the mean u and the variance o, and the the estimator . X1+ (1 w). X2 is the unbiased | estimator. Is this estimator consistent?

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Q: If X1 is the mean of a random sample of size n from a normal population with the mean u and the…

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Q: Show that (X1+ X„)/2 is an unbiased estimator of u, if {X1, ... , X„} is a random sample from the…

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Q: determine with 95% confidence that his drug avoids diagnosis of insomnia as a side-effect?

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Q: 6. Show that 1 s2 = TE2-1(Xi – x)² is unbiased estimator of the population variance o?

A: Show that S^2 is unbiased estimator of population variance

Q: A sample of n = 4 scores has a variance of s2 = 16 and an estimated standard error of 2.

A: Given: Sample size, n=4 Variance, s2 = 16  Compute standard deviation: σ=s2=16=4

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.