Carry out an appropriate statistical test to determine if the variable D follows a Normal distribution.
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.
![3. Carry out an appropriate statistical test to determine if the variable
D follows a Normal distribution.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fff5c96ba-408f-408f-ac07-11373a05ebeb%2F152fd02b-0cdb-4f56-98e2-c097052dd71f%2F6s463ob_processed.jpeg&w=3840&q=75)
![Question 2
A manufacturer of Wi-Fi routers is investigating the mnaximum distance
(measured in meters) at which a signal can be detected at a certain
level for their product. Let D be the random variable of this maximum
distance. A frequency distribution of values of D was produced for a
random sample of 166 routers; it is shown in the table below. Setting
O, as the observed values and E; as the expected values for group i, the
last column shows calculated values of
(0; - E;)?
E;
Li
fi
(0,-E,)²
E
110
115
1
0.077
115
120
4
4.336
120
125
49
6.673
125
130
35
0.784
130
135
15
0.722
135
140
4
?
140
145
1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fff5c96ba-408f-408f-ac07-11373a05ebeb%2F152fd02b-0cdb-4f56-98e2-c097052dd71f%2Fv7m0ot5_processed.jpeg&w=3840&q=75)
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