Reading: Posted class notes and the related sections from the class textbook (Introduction to the Practice of Statistics, by Moore & McCabe).

Gathering data - Experimental Design:

Problem 1 (This is Exercise 3.4 p.227) (6 points)

“There is strong public support for ‘term limits’ that restrict the number of terms that legislators can serve. One possible explanation for this support is that voters are dissatisfied with the performance of Congress and other legislative bodies. A political scientist asks a sample of voters if they support term limits for members of Congress and also asks several questions that gauge their satisfaction with Congress. He finds no relationship between approval of Congress and support for term limits. Is this an observational study or an experiment? Why? What are the explanatory and response variables?”

(Hint: Look at the surrounding odd numbered problems and their answers at the end of the book. Give similar level of detail in your answer.)

Problem 2 (16 points)

“You want to determine the best color for attracting cereal leaf beetles to boards on which they will be trapped. You will compare four colors: blue, green, white, and yellow. The response variable is the count of beetles trapped. You will mount one board on each of 16 poles evenly spaced in a square field, with four poles in each of four rows. Sketch the field with the locations of the 16 poles. Outline the design of a completely randomized experiment to compare the colors. Randomly assign colors to the poles, and mark on your sketch the color assigned to each pole. Use table B and start at line 115.” (hint: use same method as in exercise 3.13 treated in class).

* Diagram of experimental design: 8 points

* Use of Table B for randomization and color assignments: 8 points.

Random Phenomena and Probabilities:

Problem 3 (8 points) Two cards are dealt off the top of a well shuffled deck. You have a choice:

(a) To win $1 if the first is a king.

(b) To win $1 if the first is a king and the second a queen.

Which option is better? Or are they equivalent?

For credit, justify by showing what is the probability in each case.

Price: $20.95

Solution: The downloadable solution consists of 5 pages, and 587 words
Deliverable: Word Document and pdf