2. An experiment where a patient's blood pressure is measured before a treatment (call it X;) and after the treatment (call it Y;). The difference in the blood pressue of each patient, Z = Y; - X, is also recorded. The sample size n of patients is large. Suppose the true population mean of the patient's blood pressure before treatment is 41 and after treatment is H2, both unknown. Suppose the true population variance of the patient's blood pressue before and after treatment are the same, but unknown. Find an approximate 1-a confidence interval for 42 - 41.
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.
![An experiment where a patient's blood pressure is measured before a treatment
(call it X;) and after the treatment (call it Y;). The difference in the blood pressue of each
patient, Z; = Y; – X; is also recorded. The sample size n of patients is large. Suppose the true
population mean of the patient's blood pressure before treatment is 41 and after treatment is
42, both unknown. Suppose the true population variance of the patient's blood pressue before
and after treatment are the same, but unknown. Find an approximate 1-a confidence interval
for 12 - 41-
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