A. An article in the Journal of Sound and Vibration describeda study investigating the relationship between noise exposure and hypertension. The data given in the table are representative of those reported in the article. Blood ID Noise Pressure Blood ID Noise Pressure Pressure (decibels) Pressure (decibels) 65 11 4 83 1 12 4 90 63 2 65 13 7 90 3 3 71 14 8. 88 4 2. 15 4 88 4 75 81 16 95 1 80 17 8. 96 7 3 96 18 9. 92 8 85 19 7 100 9 1 80 20 6. 100 10 3. Solution: 1. Documentation: Excel output just like in PT 1 and 2. 2. Do these data provide sufficient evidence that there is a positive linear relationship between the two variables? 3. What does R^2 imply?
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.
![A. An article in the Journal of Sound and Vibration described a study investigating the relationship
between noise exposure and hypertension. The data given in the table are representative of those
reported in the article.
Blood
ID
Noise Pressure
Blood
ID
Noise Pressure
(decibels)
Pressure
(decibels)
Pressure
65
11
4
83
1
63
12
4
90
2
65
13
7
90
3
3
71
14
8.
88
4
2.
75
15
4
88
4
81
16
95
1
80
17
8.
96
3
96
18
9.
92
8
5
85
19
7
100
1
80
20
6.
100
10
3
Solution:
1. Documentation: Excel output just like in PT 1 and 2.
2. Do these data provide sufficient evidence that there is a positive linear relationship between
the two variables?
3. What does R^2 imply?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa1aebf2c-d09a-4496-9e41-9d4e1081f655%2F62f41e9d-01a8-4b5b-9cb6-49510b472cf7%2Ffmql8xg_processed.jpeg&w=3840&q=75)
![Using the regression model, predict the blood pressure level associated with a sound pressure
of 7.5 decibels
5. Fill out the table below
Regression
Value
P-value
parameters
bo
b1
Legend:
R^2
Highly
significant
significant
Not significant
*3
ns
BRIEF DESCRIPTION:
B. The followíng data provides the grades of 10 randomly selected engineering students on their
Statistics Class, and a course on Operations Research. Are the two variables, Statistics
Performance and Operations Research Performance significantly correlated?
Statistics Grade
ID
Operations Research
ID
Statistics Grade
Operations Research
88
81
6.
93
95
2
78
82
7.
83
80
73
75
8.
86
83
4
75
84
9
85
65
90
92
10
66
74
Solution:
1. Documentation: Excel output just like in PT 1 and 2.
2. Fill up the table below.
Pearson's r
DE
P-value
Legend:
Highly
significant
significant
Not significant
**
ns
BRIEF DESCRIPTION:
C. What generalization can you draw from the activity? 2- 4 sentences only.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa1aebf2c-d09a-4496-9e41-9d4e1081f655%2F62f41e9d-01a8-4b5b-9cb6-49510b472cf7%2F8kvbvna_processed.jpeg&w=3840&q=75)
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