(c) Give a 95% confidence interval for up. Using this interval, write 1 or 2 sentences to compare the mean effect of the two preparations.

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Chapter1: Starting With Matlab
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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.
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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