Elementary Statistic and Probability | Assignment 1 | MATH 210, Assignments of Probability and Statistics

Material Type: Assignment; Class: Elem Stat&Prob; Subject: Mathematics; University: The University of Tennessee-Martin; Term: Spring 2009;

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Pre 2010

Uploaded on 08/18/2009

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Math 210: Dr. Caldwell Minitab Assignment One
Spring 2009
Due: 11 February 2009 (2 pm)
Minitab (version 14) is on most computers in the labs. Go to the “Start” button, then “All Programs,”
then find it on the list…
Instructions: Bring this work finished to class on the due date above, folded with your name on the
outside just like our quizzes. Clearly label each part of each problem on your paper. Print the session
window. Do not print out the data sets.
1) Simulate three coin flipping experiments by performing the following operations.
a) Randomly generate a column of data in C1 with 20 entries [Calc | Random Data | Integer; with
minimum = 0 (tails) and maximum = 1 (heads)].
b) Randomly generate a column of data in C2 with 200 entries as above.
c) Finally, randomly generate a column of data in C3 with 20000 entries as above.
d) Find the empirical probabilities for C1, C2, and C3 [Stat | Tables | Tally]. Be sure to check
both counts (frequency) and percents (relative frequency).
e) Which sample would we expect to most closely match the theoretical probability of 0.5? Why?
Did it? Note you can type your answer, all three parts, into the session window.
f) For these data sets C1, C2, C3; calculate the summary statistics. [Stat | Basic Statistics |
Display Descriptive Statistics].
g) Look at the Standard Deviations and guess what the theoretical value for the standard deviation
should be (it is a simple fraction).
2) Simulate a data set and simulate a die rolling experiment by performing the following operations:
a) Randomly generate a column of data (C4) with 20000 entries [Calc | Random Data | Integer].
Minimum number is 1 and maximum number is 6.
b) For this data sets C4, calculate the summary statistics. [Stat | Basic Statistics | Display
Descriptive Statistics].
c) Using the answer to part (b) and your calculator, calculate the interquartile range, range,
midrange, and variance.

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Math 210: Dr. Caldwell Minitab Assignment One

Spring 2009

Due: 11 February 2009 (2 pm)

Minitab (version 14) is on most computers in the labs. Go to the “Start” button, then “All Programs,” then find it on the list…

Instructions: Bring this work finished to class on the due date above, folded with your name on the outside just like our quizzes. Clearly label each part of each problem on your paper. Print the session window. Do not print out the data sets.

  1. Simulate three coin flipping experiments by performing the following operations.

a) Randomly generate a column of data in C1 with 20 entries [Calc | Random Data | Integer; with minimum = 0 (tails) and maximum = 1 (heads)].

b) Randomly generate a column of data in C2 with 200 entries as above.

c) Finally, randomly generate a column of data in C3 with 20000 entries as above.

d) Find the empirical probabilities for C1, C2, and C3 [Stat | Tables | Tally]. Be sure to check both counts (frequency) and percents (relative frequency).

e) Which sample would we expect to most closely match the theoretical probability of 0.5? Why? Did it? Note you can type your answer, all three parts, into the session window.

f) For these data sets C1, C2, C3; calculate the summary statistics. [Stat | Basic Statistics | Display Descriptive Statistics].

g) Look at the Standard Deviations and guess what the theoretical value for the standard deviation should be (it is a simple fraction).

  1. Simulate a data set and simulate a die rolling experiment by performing the following operations:

a) Randomly generate a column of data (C4) with 20000 entries [Calc | Random Data | Integer]. Minimum number is 1 and maximum number is 6.

b) For this data sets C4, calculate the summary statistics. [Stat | Basic Statistics | Display Descriptive Statistics].

c) Using the answer to part (b) and your calculator, calculate the interquartile range, range, midrange, and variance.