Do the following: 1. Present and discuss the given data using descriptive statistics measurement. Note: (Use measures of center, dispersion, relative position & normal distribution empirical rule) 2. What is the correlation value between mathematical ability and artistic ability? Interpret result. 3. Is there a significant correlation between mathematical ability and artistic ability at 0.05 level of significance (2-tailed)? What is your conclusion this time?
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.
![4. Develop the scatter diagram and predictive equation.
5. If the mathematical ability scores are 5, 28 and 45, what will be the
corresponding artistic ability scores?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc9bd242b-c91b-4313-b041-901f52b16738%2Fb102e349-3064-483f-8fbf-fbc8f87a78b8%2Fgukgmmx_processed.jpeg&w=3840&q=75)
![Problem
Folklore has it that there is an inverse correlation between mathematical and artistic
ability. Suppose you decide to determine whether there is anything to this notion.
You randomly sample 15 participants and give them tests measuring these two
abilities.
The resulting data are shown here.
Mathematical
Ability (x)
Artistic Ability (y).
16
31
35
10
29
20
23
17
25
24
Mathematical
Ability (x)
Artistic Ability (y)
41
39
25
11
26
22
15
11
19
20
Mathematical
Ability (x)
Artistic Ability (y).
ANIA
19
10
31
24
31
17
29
25
Do the following:
1946
1. Present and discuss the given data using descriptive statistics measurement.
Note: (Use measures of center, dispersion, relative position & normal
distribution empirical rule)
2. What is the correlation value between mathematical ability and artistic ability?
Interpret result.
3. Is there a significant correlation between mathematical ability and artistic
ability at 0.05 level of significance (2-tailed)? What is your conclusion this
time?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc9bd242b-c91b-4313-b041-901f52b16738%2Fb102e349-3064-483f-8fbf-fbc8f87a78b8%2F7lc6yd_processed.jpeg&w=3840&q=75)
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