***NUMBER 2*** 1. Let Xix,, ..,X, be a random sample from a population with mean

Question

***NUMBER 2***

1. Let Xix,, ..,X, be a random sample from a population with mean M and variance ? , and let Y.,, ,, be a random sample with mean Ha andvariance ?.1 and that the and Y samples are independent of one another. What is the best point estimator for the difference of two independent means? H, :14-Ha 0 versus He :M-Ha # 0, the computed value of the test statistic is z 2.25. What is the P-value for this two-tailed test? 3. Let X- Bin(m, p) and Y~ Bin(n, p2) with X, Y being independent variables. Show that p1-P2 is an unbiased estimator of M-P2 .

Explanation / Answer

Solution:

z=2.25

two tail test

use r softwre:
Execute below code;

z <- 2.25
2*pnorm(-abs(z))

output:

0.02444895

p= 0.02444895

p=0.024449

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