Stat 2000, Section 001, Homework Assignment 2 (30 Points)
(1/20/2012 - Due Friday 1/27/2012 by 9:35am)
- 0) Reading: Section 1.2
- 1) Please work on the following textbook exercises in Moore/McCabe/Craig:
Try to use a computer and software of your choice if possible.
Include printouts, screendumps, or photos of your results.
Note that CrunchIt cannot produce back-to-back stemplots.
- Exercise 1.41 (2 points; data set name in CrunchIt: studytime.xls):
- Exercise 1.43 (4 points; data set name in CrunchIt: seventhgrade.xls):
- Exercise 1.46 (1 point; data set name in CrunchIt: marathon.xls):
- Exercise 1.68 (4 points; data set name in CrunchIt: longleaf.xls):
- Exercise 1.72 (1 point; data set name in CrunchIt: lucky.xls):
- 2) Histogram vs Time Plot (5 points):
The file
http://www.math.usu.edu/~symanzik/teaching/2012_stat2000/Yellowstone_2001_2010.csv
was created from data accessible at the US National Park Service (NPS) web site at
http://www.nature.nps.gov/stats/park.cfm.
This file contains the total monthly number of visitors at Yellowstone National Park (NP) over a 10-year period
(i.e., 120 months) from January 2001 (MonthSeq = 1) through December 2010 (MonthSeq = 120).
Try to use a computer and software of your choice if possible.
Include printouts, screendumps, or photos of your results.
(a) Make a histogram of the number of "Visitors" and describe the pattern and
any striking deviations that you see. Create meaningful titles and labels!
(b) Make a time plot of the number of visitors and describe its pattern
in terms of long-term trend and seasonal variation (if any of these is
applicable). If you work with CrunchIt, then use "Visitors" for "Data"
and "MonthSeq" for "Labels". Create meaningful titles and labels!
(c) Which of these two plots is better suited to explain the
number of visitors at Yellowstone NP from 2001 through 2010?
Justify your answer.
- 3) Mean and Median (8 points):
Revisit the "Mean and Median" applet at
http://www.math.usu.edu/~schneit/CTIS/MM/.
Increase the number of columns to 20.
Then create the following plots and include printouts, screendumps, or photos of your results:
(a) A plot that consists of at least 10 observations where the mean is at least 3
bigger than the median.
(b) A plot that consists of at least 10 observations where the mean and
the median are exactly the same, but the plot is not
perfectly symmetric (i.e., the left and right sides may be similar, but they can't
be exactly the same).
(c) Calculate the exact values for the mean and the median
for your two previous plots. Show your calculations.
Note that all of your values are whole numbers in the range
from 1 to 20 (as you were asked to increase the number of columns to 20).
(d) Now select the option "Identify window" from the "Menu" choice on the upper left
side of the plot window. Use the data from "Test Scores".
Find a plot each where the orange triangle relates to
one of the four possible outcomes, i.e., one plot where the orange
triangle marks only the mean, one plot where it marks only the median,
one plot where it marks both, and ont plot where it marks neither.
Include printouts, screendumps, or photos of your results.
(e) As in (c), calculate the exact values for the mean and the median
for your four previous plots. Show your calculations.
- 4) Sums and Order Notation (5 points):
Download the
additional pdf and solve the five sums for the homework part from
hw02_sums_order.pdf
- 5) Recitation Problems (RPs): The following RPs
will be discussed during the recitation lectures next week:
Download the
additional pdf and solve the six sums for the Recitation Problems part from
hw02_sums_order.pdf
Each week, several students will be given the opportunity
to present their answers to some of the RPs to the other students in a
recitation session. Depending on the length, difficulty, and correctness
of your presentation, you may be awarded up to 3 bonus points each week.
We will try to give as many students as possible an opportunity to present
their answers. However, there is no guarantee that in a particular
week you will be among the students who can present their answers.