Collect and summarize data into a test statistic. The sample mean difference = and the standard error of the difference is
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.
Collect and summarize data into a test statistic.
- The sample
mean difference = - and the standard error of the difference is =
![Hypothesis Testing
Answer the given problem by following the steps in hypothesis testing.
Sample problem: Determine the weight of the students before and during the quarantine.
Did the students lose more fat before the quarantine?
Weight before quarantine:
Weight during quarantine:
sample mean =
= 4.1 kg
sample mean = 5.9 kg
sample standard deviation = 3.7 kg
sample standard deviation = 4.1 kg
sample size = n = 47
%3D
sample size
= n = 42
standard error = SEM2 = 3.7/ V47 = 0.540
standard error =
SEM1 = 4.1/ v42 = 0.633
measure of variability = sq root [(0.633)2 +
(0.540)2] = 0.83](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcad7dda3-c4e4-4346-8882-9bbf1cea0d3d%2F0a69b921-10e9-457e-a8e2-e097c821cff8%2Fyuvoty_processed.png&w=3840&q=75)
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