36-201 INTRODUCTION TO STATISTICAL REASONING

Assignment #1

Due:  In Lab, Thurs Jan 21 and Fri Jan 22.

Be sure to write your name and SECTION on your paper.  

STAPLE, DO NOT PAPERCLIP OR FOLD/TEAR, YOUR PAGES TOGETHER.


1. Moore, 4.20 (p. 231).  Find the five-number summary and make a simple
   boxplot of the same data.  List separately outliers identified with 
   the 1.5*IQR rule, if any.

2. Moore, 4.33 (p. 243)

3. Moore, 4.26 (p. 235), 4.34 (p. 243), and 4.49 (p. 256)

4. Moore, 4.53 (p. 257)  Not everything about this question is a
calculation!

5.  "Let the buyer beware" is a phrase that comes to mind when buying a
used car, not when buying food.  However, Allison, Heshka, Sepulveda, and 
Heymsfield (1993; "Counting Calories - Caveat Emptor," JAMA, v. 270, pp. 
1454-1456) think that this phrase should apply to purchasing "diet" and 
"health" foods as well. They purchased 40 such food items in Manhattan, 
New York and compared the caloric content of each to the calories listed 
on the label.  Following are the percent differences between the measured 
and reported calories per item (for each item, the number is 
100% * (measured-labeled)/labeled).

Percent differences between measured and reported calories, per item:

 2.0  -28.0   -6.0    8.0    6.0   -1.0   10.0   13.0   15.0  -4.0
-4.0  -18.0   10.0    5.0    3.0   -7.0    3.0   -0.5  -10.0   6.0
41.0   46.0    2.0   25.0   39.0   16.5   17.0   28.0   -3.0  14.0
34.0   42.0   15.0   60.0  250.0  145.0    6.0   80.0   95.0   3.0

Use this data in Minitab to do the following.

(i) Frequency Histogram.

(ii) Percent Histogram (change "options" to "density" when you make 
the histogram, to make the kind discussed in lecture).

(ii) Boxplot.

(iii) Stem and Leaf Plot.
(select ``graph'' then ``character graphs'' then ``stem-and-leaf.'')

(iv) Dotplot. 
(select ``graph'' then ``character graphs'' then ``dotplot.'')
We have not covered dotplots in class, but it should be
obvious how to interpret it.

Print out the plots and describe briefly which plot
you feel is the easiest to interpret a why.
Include the plots in your assignment.