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Introductory Statistical Methods - Final Exam | STAT 2200, Exams of Data Analysis & Statistical Methods

University of Missouri (MU) - ColumbiaData Analysis & Statistical Methods
Prof. Todd Dewees

Material Type: Exam; Professor: Dewees; Class: Introductory Statistical Methods; Subject: Statistics; University: University of Missouri - Columbia; Term: Unknown 1989;

Typology: Exams

Pre 2010

Uploaded on 08/18/2009

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STAT 2200 Final Exam T. DeWees
Name: Score:
Honor Statement: By signing below you confirm that you have neither
given nor received any unauthorized assistance on this exam. This includes
any use of a graphing calculator beyond those uses specifically authorized
by the Statistics Department and your instructor. Furthermore, you agree
not to discuss this exam with anyone until the exam testing period is over.
In addition, your calculator’s program memory and menus may be checked
at any time and cleared by your instructor.
Signature: Date:
Show ALL work for ALL problems.
1. (12 points) Suppose that grades on this exam will be equally likely from 50 to 95. What score would you need
to get to ensure that you scored better than 27% of the other students taking this exam.
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Download Introductory Statistical Methods - Final Exam | STAT 2200 and more Exams Data Analysis & Statistical Methods in PDF only on Docsity!

STAT 2200 Final Exam T. DeWees

Name: Score:

Honor Statement: By signing below you confirm that you have neither

given nor received any unauthorized assistance on this exam. This includes

any use of a graphing calculator beyond those uses specifically authorized

by the Statistics Department and your instructor. Furthermore, you agree

not to discuss this exam with anyone until the exam testing period is over.

In addition, your calculator’s program memory and menus may be checked

at any time and cleared by your instructor.

Signature: Date:

Show ALL work for ALL problems.

  1. (12 points) Suppose that grades on this exam will be equally likely from 50 to 95. What score would you need to get to ensure that you scored better than 27% of the other students taking this exam.
  1. Suppose we have the experiment of tossing one die and one coin. Let the random variable X = the number on the die multiplied by the number of heads on the coin.

(a) (16 points) Find the probability distribution for the given experiment.

(b) (14 points) Find the mean, variance, and standard deviation of the probability distribution.

  1. (8 points) Everyone knows that smoking causes decreased lung capacity, therefore smokers need to stop for breaks when running. It is known that on average, a smoker will have to stop 4.5 times in every mile to catch their breath. So find the probability that a smoker will have to stop less than 2 times when running a half-mile.
  1. (14 points) The established norm on a reeding comprehension test is that 8th graders should average 73.2 If forty-five 8th graders sampled from a particular district averaged 76.7 with a standard deviation of 8.6, is there reason to believe that students from this district score, on average, above the established norm? Use the 0. level of significance. Use CV method to find results. Interpret your results.
  2. (18 points) To compare the effectiveness of two types of bumper guards, two independent, random samples of two compact cars were outfitted with one of the two bumper guards. Then each car was run into a concrete wall 6 times at 5mph. The damage estimates were found. From these six trials the first bumper damage averaged 125 with a variance of 363.2 and the second bumper damage averaged 149 with a variance of 202. Conduct a test at 0.01 level that the second bumper causes more damage. Use P-Value and interpret your results.
  1. The STANK organization (Students Thinking About New Kegs) decided to test if there is a difference in efficiency of two manual keg tappers at the α = 0.1 significance level. The students used the same brand name kegs (Schlitz) for all 21 tests. The students computed the average number of cups poured per half hour with each tapper. The differences between the 2 tappers gives a average difference of 3.914 cups and the standard deviation of the difference is 11.617 cups.

(a) (12 points) Compute a Confidence Interval at the alpha level stated.

(b) (8 points) What does this Confidence Interval tell us? Tell me what you are looking for and what it tells you about the 2 types of tappers!