Assume that the differences are normally distributed. Complete parts (a) through (d) below. Observation 1 2 3 4 5 6 7 8 49.5 48.8 45.3 42.0 52.5 52.6 54.5 53.5 Y, 53.4 50.4 50.2 46.1 52.2 53.9 54.6 54.9 (a) Determine d; = X; - Y, for each pair of data. Observation 1 2 3 4 6 7 8. di (Type integers or decimals.)
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.
![Assume that the differences are normally distributed. Complete parts (a) through (d) below.
Observation
1
2
3
4
5
6
7
8
X1
49.5
48.8
45.3
42.0
52.5
52.6
54.5
53.5
Yi
53.4
50.4
50.2
46.1
52.2
53.9
54.6
54.9
(a) Determine d, =X; - Y, for each pair of data.
Observation
1 2 3
4
5 6
7
8
(Type integers or decimals.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3f27f223-4172-4187-83b8-4a30b69fff93%2Fc42ec4c2-8381-4602-b8ff-fa0a766f41b4%2Fkao6fi_processed.png&w=3840&q=75)
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