The local school board has instituted a book rewards program intended to encourage third graders to read more, thereby increasing their scores on a standardized vocabulary test. Nationally, the average score on this exam among third graders is 98. A random sample of 223 local third graders participating in the program scored an average of 104 on the test with a standard deviation of 13. Conduct a significance test with a=.05 to answer the research question: Is the program working to significantly increase local third graders' vocabulary scores? STEP ONE In step one of this significance test, do you have to have a "random sample" or "independent random samples"? a) a random sample b) independent random samples
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.
The local school board has instituted a book rewards program intended to encourage third graders to read more, thereby increasing their scores on a standardized vocabulary test. Nationally, the average score on this exam among third graders is 98. A random sample of 223 local third graders participating in the program scored an average of 104 on the test with a standard deviation of 13.
Conduct a significance test with a=.05 to answer the research question: Is the program working to significantly increase local third graders' vocabulary scores?
STEP ONE
In step one of this significance test, do you have to have a "random sample" or "independent random samples"?
a) a random sample
b) independent random samples
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