# Thread: How to find best point of estimate?

1. ## How to find best point of estimate?

How do I find the best point of estimate for 2 samples?

Here is my data:
A: 78, 84, 81, 78, 76, 83, 79, 75, 85, 81
B: 85, 75, 83, 87, 80, 79, 88, 94, 87, 82

$\displaystyle \bar{x}$A = 80
S = 3.367
N = 10

$\displaystyle \bar{x}$B = 84
S = 5.395
N = 10

Reading my notes it sounds like 80 would be the best point of estimate for A and 84 the BPA for B, I think? Would the BPA for both be 82?

Thanks for the help

2. I can obtain maximum likelihood estimators, method of moments estimators, sufficient estimators...
BUT I need to know what is the underlying distribution.
And do you want the best point estimator of the population mean, or population variance...?

3. The question says: Use these data for problems on this task. Find the best point estimate of $\displaystyle \mu$A - $\displaystyle \mu$B. (they are independent random samples) They gave the data tables and I determined samp means and std devs.

4. I wanted to know what parameters you wanted to estimate.
Now I see it's the difference of the two population means.
I would use the difference of the sample means, 80-84=-4.

5. Hmm, ok =) thanks

6. Likewise, the best guess at $\displaystyle 10\mu_1-8\mu_2$ would be $\displaystyle 10\bar X_1-8\bar X_2$.

7. Ok so looking at my other problems, it says things like:
Ho: $\displaystyle \mu$1 - $\displaystyle \mu$2 = 0 vs Ha: $\displaystyle \mu$1 - $\displaystyle \mu$2 < 0

So does that mean it is considered as one (rather than a subtraction), that is just how it is represented?

8. this is a one sided hypothesis test. You need to give me all the info, not just pieces here and there.