MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Transcribed Image Text:A farmer is testing the effects of 4 different fertilizers on the yields of a certain variety of tomato plants.
The four fertilizers are applied to each of 5 different tomato plants and the numbers of tomatoes produced by
each plant are recorded. The table below shows the results:
Fertilizer A
Fertilizer B
Fertilizer C
Fertilizer D
Mean
34.6
20.2
34.6
31.6
Standard
3.8
4.0
4.7
2.3
deviation
An ANOVA test is to be done, using a significance level of 0.05
A. How many degrees of freedom are there for the numerator?
B. How many degrees of freedom are there for the denominator?
C. What is the critical value?
D. Compute the value of the variance of the means, reporting it to the exact value of 2 decimal places.
E. Compute the value of the mean of the variances, reporting it to the exact value of 3 decimal places.
F. Compute the test statistic, rounding the answer to 3 decimal places.
Transcribed Image Text:G. Using the rounded test statistic, compute the p value.
O-4.0156
O4.0156
0.000041456
O correct answer is not given
H. Based on the above, are the population means considered to be all equal?
O yes
no
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