Let X1, X2, ... , Xn be a random sample from a Bernoulli distribution: p(x; 0) = 0*(1 – 0)1-*. We wish to test 0 a/20 versus 0 # a/20. Moreover, a is the sum of the first 3 values in your %| dataset. Furthermore, the sample mean X is equal to the average of the first 5 values in your dataset divided by 10. Derive MLE estimor and:
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.
My data sets were given in one of two pictures which I sent
![[65747668 4 2676234674 664 664 85 6 4 6]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe8165b54-1e9b-4b79-aa5b-d063ee0876a3%2F130dacdc-082d-4043-b26b-3c51bbe934f2%2F3c2obwi_processed.png&w=3840&q=75)
![Question 5.
Let X1, X2, …,
Xn be a random sample from a Bernoulli distribution: p(x; 0) = 0*(1 – 0)1-x.
We wish to test 0 = a/20 versus 0 + a/20. Moreover, a is the sum of the first 3 values in your
dataset. Furthermore, the sample mean X is equal to the average of the first 5 values in your
dataset divided by 10. Derive MLE estimor and:
a) Perform Likelihood Ratio test at 5%;
b) Perform Wald test at 5%;
c) Perform Rao's test at 5%.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe8165b54-1e9b-4b79-aa5b-d063ee0876a3%2F130dacdc-082d-4043-b26b-3c51bbe934f2%2Fnrxd6my_processed.png&w=3840&q=75)
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