Go through the ten steps of analysis of variance hypothesis testing to see if you conclude that there is a difference among population means. Let the level of significance be .05 for each test. Use Turkey's HSD procedure to test for significant differences among individual pairs of means (if appropriate). Use the same level of significant value for the F test. Construct a dot plot and side-by-side boxplots of the data.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
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.
Go through the ten steps of analysis of variance hypothesis testing to see if you conclude that there is a difference among population means. Let the level of significance be .05 for each test. Use Turkey's HSD procedure to test for significant differences among individual pairs of means (if appropriate). Use the same level of significant value for the F test. Construct a dot plot and side-by-side boxplots of the data.
![8.2.5. In a study by Wang et al. (A-6), researchers examined bone strength. They collected 10 cadaveric
femurs from subjects in three age groups: young (19–49 years), middle-aged (50–69 years), and
elderly (70 years or older) [Note: one value was missing in the middle-aged group]. One of the
outcome measures (W) was the force in Newtons required to fracture the bone. The following table
shows the data for the three age groups.
Young (Y)
Middle-aged (MA)
Elderly (E)
193.6
125.4
59.0
137.5
126.5
87.2
122.0
115.9
84.4
145.4
98.8
78.1
51.9
117.0
94.3
105.4
99.9
83.3
57.1
99.9
54.7
74.0
72.8
78.6
74.4
83.5
53.7
112.8
96.0
Source: Data provided courtesy of Xiaodu Wang, Ph.D.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7add9eb3-886e-4954-ae66-a428fdeaebea%2F8bbcc114-b5bb-4e58-a67e-2eecc6f5f2d0%2Fkqf7p4c_processed.png&w=3840&q=75)
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