Determine the mean of math proficiency scores of students taught by the Standard Method. Determine the median of math proficiency scores of students taught by the New Method. Determine the median of math proficiency scores of students taught by the Standard Method. Determine the mean of math proficiency scores of students taught by the New Method
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.
![I. In the following study educational researchers were interested in whether a New
Method for teaching mathematics was more effective than the Standard Method. A
sample of 20 students were taught by the Standard Method, while another sample of
15 students were taught by the New Method. Each student was given a mathematics
proficiency test at the end of the teaching period. The scores on this test are tabulated
below:
Standard 54.2 61.9 69.2 76.1 55.8 67.3 73.9 67.3 73.9 71.4
Method
New
Method
76.4 69.6 66.0 81.1 66.6 77.2 89.9 85.4 66.3 67.9
77.5 70.3 63.2 33.4 55.6 42.0 13.8 10.7 36.9 71.6
37.9 23.7 14.5 26.6 55.2
Some Summary Statistics are given below:
Er
Ex?
Standard 20
Method
New
Method
1417.4 101932.70
15
632.9
33669.55](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdbf499f9-edea-4a54-a215-98fca5f82ac2%2Ffe5f5e64-ec6f-4cf4-9544-18d017f29891%2Fpq8yheq_processed.png&w=3840&q=75)
![Determine the mean of math proficiency scores of students taught by the Standard
Method.
Determine the median of math proficiency scores of students taught by the New
Method.
Determine the median of math proficiency scores of students taught by the Standard
Method.
Determine the mean of math proficiency scores of students taught by the New
Method.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdbf499f9-edea-4a54-a215-98fca5f82ac2%2Ffe5f5e64-ec6f-4cf4-9544-18d017f29891%2Fpgnjhzm_processed.png&w=3840&q=75)
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