Homework Assignment 5

GER 3900, Spatial Analysis

Spring 2001
Due March 9 2001

Distributions

You are given a basket of eggs, and are told to measure the average weight and diameter of the collection. You find that the mean and variance of the diameter of the eggs are as such:

$\mu = 5.1 cm \hspace{2cm} \sigma^2 = .9 cm$

Convert this to a Z value (z transformation).

Sampling

1.

If this basket of eggs is your only basket that you'll ever worry about, then you know that the mean and standard deviation of the basket is $\mu$ and $\sigma$, respectively. If this basket turns out to be just one tiny portion of the eggs produced at the Kermits Chicken Farm (inc.), then how would you calculate the mean and standard deviation?

2.

If you want to know the mean of the mean diameter of the eggs in 10 similar baskets ( $\mu_{\bar{x}}$ where n = 10), how would you calculate that?





 

3.

Why would you want to deal with a mean of means, rather than simply take the mean of a bunch of eggs from the sample?

Sampling II

You end up taking the mean and standard deviation of 5 baskets of eggs, with the following results:

Basket Number	A	B	C	D	E
Mean	5.1	5.3	4.9	5.0	4.7
Std. Dev.	.9	.8	.9	1.1	.9

Create a table for all possible combinations of the subsets of basket samples of n=3 (ABC, ABD, BCD, etc..), and calculate the mean and variation of these subsets ( $\mu_{\bar{x}}$ and $\sigma_{\bar{x}}$). How do these answeres compare with your esimate in question 2?

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Homework Assignment 5

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