The given data are below. Critical Reading Student Mathematics Writing 527 533 530 2 593 591 586 465 461 448 4 561 569 550 5 436 481 427 6 430 455 423 To calculate the F test statistic, the treatment means, block means, and overall sample mean need to be found. The treatments are the areas of the SAT. The treatment mean for the area Critical Reading is calculated as follows. 527 + 593 + 465 + 561 + 436 + 430 "Reading - 502 Calculate the remaining treatment means. X-Mathematics X-writing The blocks are the students. The block mean for student 1 is calculated as follows. 527 + 533 + 530 3 530 Calculate the remaining block means. X6 Find the overall sample mean of all 18 scores, rounding the result to three decimal places. 3.
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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