A developmental psychologist who wanted to know if the age when children started walking affected school performance divided 48 children into 16-Early, 16-Middle, and 16-Late Walkers. At the end of the second grade, the psychologist computed a composite school performance score based on teachers' reports. The means and estimated population variances for the three groups were: Early Walkers: M = 33, 52 = 25; Middle Walkers: M = 42 52 = 36; Late Walkers: M = 42. 52 = 16. a.) Is there a difference in school performance score between three walking groups? (Use the.05 level.) Use the five steps of hypothesis testing. Label all the steps clearly. Show ALL Work/calculations. b.) Report the statistic in APA format (the statistical sentence).
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.
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