Directions: Perform an analysis of variance (ANOVA) to determine if the differences in the percentage butterfat of the different breeds of cows is statistically significant. 1. Click on the Data button below to display the data. Copy the data into your TI-84 and click the Data button a second time to hide it. Data Guernsey Jersey Holstein 4.37 4.81 3.21 5.26 6.28 3.46 5.71 5.13 3.87 5.25 4.63 4.14 4.64 5.23 4.31 4.86 5.82 3.66 4.94 5.56 3.33 3.91 4.79 4.02 5.45 5.2 3.52 4.89 5.14 3.5 5.17 5.94 4.01 4.46 5.1 3.78 4.43 5.19 3.49 4.91 3.33 4.6 5.2 3.65 4.39 3.97 4.03 4.75 5.84 4 80

Directions: Perform an analysis of variance (ANOVA) to determine if the differences in the percentage butterfat of the different breeds of cows is statistically significant. 1. Click on the Data button below to display the data. Copy the data into your TI-84 and click the Data button a second time to hide it. Data Guernsey Jersey Holstein 4.37 4.81 3.21 5.26 6.28 3.46 5.71 5.13 3.87 5.25 4.63 4.14 4.64 5.23 4.31 4.86 5.82 3.66 4.94 5.56 3.33 3.91 4.79 4.02 5.45 5.2 3.52 4.89 5.14 3.5 5.17 5.94 4.01 4.46 5.1 3.78 4.43 5.19 3.49 4.91 3.33 4.6 5.2 3.65 4.39 3.97 4.03 4.75 5.84 4 80

Name: Background: The butterfat content of random samples of Guernsey, Hols
Uploaded: 2024-03-20T07:06:16.000Z
Channel: Bartleby
Description: Background: The butterfat content of random samples of Guernsey, Holstein and Jersey cows are providedbelow. Each data value represents the percentage butterfat.GuernseyHolsteinJerseySource: Sokal, R. R. and Rohlf, F. J. (1994) Biometry. W. H. Freem

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

Topic Video

Question

Background: The butterfat content of random samples of Guernsey, Holstein and Jersey cows are provided
below. Each data value represents the percentage butterfat.
Guernsey
Holstein
Jersey
Source: Sokal, R. R. and Rohlf, F. J. (1994) Biometry. W. H. Freeman, New York, third edition.
Directions: Perform an analysis of variance (ANOVA) to determine if the differences in the percentage
butterfat of the different breeds of cows is statistically significant.
1. Click on the Data button below to display the data. Copy the data into your TI-84 and click the Data
button a second time to hide it.
Data
Guernsey
Jersey
Holstein
4.37
4.81
3.21
5.26
6.28
3.46
5.71
5.13
3.87
5.25
4.63
4.14
4.64
5.23
4.31
4.86
5.82
3.66
4.94
5.56
3.33
3.91
4.79
4.02
5.45
5.2
3.52
4.89
5.14
3.5
5.17
5.94
4.01
4.46
5.1
3.78
4.43
5.19
3.49
4.91
3.33
4.6
5.2
3.65
4.39
3.97
4.03
4.75
5.84
5.26
4.89

5
4.91
3.33
4.6
5.2
3.65
4.39
3.97
4.03
4.75
5.84
5.26
4.89
5.45
6.21
2. Choose the correct null and alternative hypotheses.
OHo: At least two means are not all equal.
Ha: H1 = 42 = µ3
Ho: µ1 = H2 = M3
Ha: µ1 + u2 7 u3
Ho: µi + µ2 + u3
Ha: H1
= µ2 = µ3
Ho: µi = µ2 = l3
Ha: At least two means are not all equal.
3. Complete the following ANOVA table. (Round your answers to 4 decimal places).
Source
S.S.
df
M.S.
F
Treatment
Error
Total
4. Compute the p-value. (Round your answer to 4 decimal places.)
p-value
5. Interpret the results of the significance test.
At least two means of butterfat content of Guernsey, Holstein and Jersey cows are statistically
different.
None of the means of butterfat content of Guernsey, Holstein and Jersey cows are statistically
different.

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