You are coaching a high school basketball team and you realize the importance of free throw shooting, the skill to make foul shots. The question is: how much practice time should be spent in shooting free throws. Thus, you divide your team of 21 players into three groups and practice according to the following schedule that produces thee results after one month. The results are the number of free throws made in 50 attempts. 10 minutes per session 15 minutes 20 minutes per session 25 26 34 30 32 33 31 30 32 33 32 38 35 37 41 27 35 39 29 36 42 Set up hypotheses to test if the mean number of free throws made is the same under these practice conditions. Perform the appropriate tests. Fully interpret your results.
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.
- You are coaching a high school basketball team and you realize the importance of free throw shooting, the skill to make foul shots. The question is: how much practice time should be spent in shooting free throws. Thus, you divide your team of 21 players into three groups and practice according to the following schedule that produces thee results after one month. The results are the number of free throws made in 50 attempts. 10 minutes per session 15 minutes 20 minutes per session
25 26 34
30 32 33
31 30 32
33 32 38
35 37 41
27 35 39
29 36 42
- Set up hypotheses to test if the
mean number of free throws made is the same under these practice conditions. - Perform the appropriate tests.
- Fully interpret your results.
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