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## APPL EXP DESIGNS

by: Ethel Hermiston

55

0

4

# APPL EXP DESIGNS STAT 4220

Ethel Hermiston
UGA
GPA 3.5

Li

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COURSE
PROF.
Li
TYPE
Class Notes
PAGES
4
WORDS
KARMA
25 ?

## Popular in Statistics

This 4 page Class Notes was uploaded by Ethel Hermiston on Saturday September 12, 2015. The Class Notes belongs to STAT 4220 at University of Georgia taught by Li in Fall. Since its upload, it has received 55 views. For similar materials see /class/202531/stat-4220-university-of-georgia in Statistics at University of Georgia.

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Date Created: 09/12/15
STAT4220 First Midterm Examination September 23 2010 Total 20 points Name Student ID Problem 1 2 3 Total Max pts 4 11 5 20 Score Show all steps to receive full credit 1 5 points An experiment was conducted to model oxygen uptake O2UP in milligrams of oxygen per minute from ve chemical measurements biological oxygen demand BOD total Kjeldahl nitrogen TKN total solids TS total volatile solids TVS which is a com ponent of TS and chemical oxygen demand COD each measured in milligrams per liter Moore 1975 The data were collected on samples of dairy wastes kept in suspension in water in a laboratory over 220 days All observations were on the same sample over time We desire an equation relating logO2UP to the other variables The goal is to nd variables that should be further studied with the eventual goal of developing a prediction equation day cannot be used as a predictor Here is the R output Coefficients Estimate Std Error t value Pr gtltl Intercept 72157e00 9162e701 72355 00336 BOD 71868e705 5199e704 70036 09718 TKN 1310e703 1267e703 1034 03188 TS 1285e704 7713e705 1666 01179 TVS 7923e703 1404e702 0564 05815 COD 1422e704 7397e705 1922 00752 Residual standard error 02626 on 14 degrees of freedom Multiple RSquared 08094 a 1 point What is the estimate of 62 model variance b 3 pt Suppose the TSS Total Sum of Squares 202 737 5065 Then what will be the multiple R2 2 11 points Mazumdar and Hoa 1995 performed an experiment which dealt with the laser assisted manufacturing of a thermoplastic composite The experimental factor is laser power at 40 50 and 60 watts The response is interply bond strength of the composite as measured by a short beam shear test The strength data for the composite experiment are displayed in Table 1 Table 1 Strength Data Composite Experiment Laser Power 40W 50W 60 W 2566 2915 3573 2800 3509 3956 2065 2979 3566 a 3 points By treating the experimental design as a one way layout ll in the blanks in the ANOVA table for the experiment Table 2 ANOVA Table Composite Experiment Degrees of Sum of Mean Source Freedom Squares Squares F p Value laser 112092 1132 0009 residual 9904 total b 2 points Write down the model clearly Explain your notations Write down any assumptions andor constraints you have c 2 point Does the experiment provide strong evidence that laser power affects the strength of the composite Explain clearly Make sure to write down your null and alternative hypothesis as well as the reason for your conclusion d 4 points Use the Tukey method to perform multiple comparisons for the composite experiment in Table 1 Take 0c 005 Show all steps Calculate tij s for all possible pairs

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