A track coach creates a new training program to improve his team’s performance in the 200m race. He records the run times for the 200m race for the 16 students on the team at the beginning of the school year. After training for a month, he records the run times again for his team. Their times showed an average decrease of MD = 4.77 seconds. The variance of the difference scores is s2 = 65.6. Are the results sufficient to conclude that there’s a significant difference in run times before and after training? Conduct a hypothesis test using α = .05.
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.
A track coach creates a new training program to improve his team’s performance in the
200m race. He records the run times for the 200m race for the 16 students on the team at the beginning
of the school year. After training for a month, he records the run times again for his team. Their times
showed an average decrease of MD = 4.77 seconds. The variance of the difference scores is s2 = 65.6.
Are the results sufficient to conclude that there’s a significant difference in run times before and after
training? Conduct a hypothesis test using α = .05.
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