MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear re…
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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preparation 1 preparation 30 20 8. 5 14 17 14 11 19 17 17 15 3 19 15 12 12 21 14 18 16 14 13 12 4 13 13 16 14 16 14 18 12 21 15 12 10 17 12
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Transcribed Image Text:preparation 1 preparation 30 20 8. 5 14 17 14 11 19 17 17 15 3 19 15 12 12 21 14 18 16 14 13 12 4 13 13 16 14 16 14 18 12 21 15 12 10 17 12
Question 10: We wish to compare the effect of two preparations of a virus on tobacco plants. The study involves 20 plants. For each plant, half a leaf is inoculated with preparation 1 and the other half is inoculated with preparation 2. The number of lesions are measured and denoted as x1 and x2, respectively. The data are found in the file TOBACCO.txt. (a) Is it reasonable to assume that the difference of both measurements is normally dis- tributed? (Hint: Produce a quantile-quantile plot (or normal probability plot) for the differences.) (b) Do the preparations have a different effect on the tobacco plants? Justify your answer using a test of hypothesis of Ho : µp = 0 against H1 : µp 7 0, where D is the difference between the number of lesions when preparation 1 and the number of lesions when preparation 2 is used. Use a level of significance of a = = 1%. (c) Give a 95% confidence interval for up. Using this interval, write 1 or 2 sentences compare the mean effect of the two preparations.
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Transcribed Image Text:Question 10: We wish to compare the effect of two preparations of a virus on tobacco plants. The study involves 20 plants. For each plant, half a leaf is inoculated with preparation 1 and the other half is inoculated with preparation 2. The number of lesions are measured and denoted as x1 and x2, respectively. The data are found in the file TOBACCO.txt. (a) Is it reasonable to assume that the difference of both measurements is normally dis- tributed? (Hint: Produce a quantile-quantile plot (or normal probability plot) for the differences.) (b) Do the preparations have a different effect on the tobacco plants? Justify your answer using a test of hypothesis of Ho : µp = 0 against H1 : µp 7 0, where D is the difference between the number of lesions when preparation 1 and the number of lesions when preparation 2 is used. Use a level of significance of a = = 1%. (c) Give a 95% confidence interval for up. Using this interval, write 1 or 2 sentences compare the mean effect of the two preparations.
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