I mentioned the fact that variability is a concept that will run throughout the course. I said that you need only one cow to find out how many legs cows have, whereas you need many more to estimate their average milk production. How would you expect that variability would contribute to the size of the sample you would need? What would you have to do if you suspected that some varieties of cows gave relatively little milk, while other varieties gave quite a lot of milk?

The Mars Candy Company actually keeps track of the number of red, blue, yellow, etc. M&Ms^{TM} that appear in each batch. (These make wonderful examples for discussions of sampling.)

- This is an example of__________ data.

An example of the use of M&Ms^{TM} to illustrate statistical concepts can be found here

- How do the words “population”, “sample”, “parameter”, and “statistic” apply to the example at this link?

**The next three problems use the following data set:**

*X* = {5, 6, 6, 4, 5, 3, 3, 4, 9, 1}

*Y* = {5, 7, 4, 4, 4, 3, 1, 2, 6, 4}

(a) What are *Y _{1}* and

(b) Calculate Σ*y*

(a) Calculate (Σ*Y*)^{2} and Σ*Y*^{2}

(b) Given the answers to (a), calculate

Show that:

(a) Σ(*X*+*Y*) = Σ*X* + Σ*Y*

(b) Σ*XY* ≠ Σ*X*Σ*Y*

(c) Σ*CX* = *C*Σ*X*

(d) Σ*X*^{2} ≠ (Σ*X*)^{2}

Subject | Mathematics |

Due By (Pacific Time) | 01/30/2014 04:00 pm |

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