ASSIGNMENT – 3 Q.no.1: Suppose we want to test whether girls, on average, score higher than 600 on the SAT verbal section. Suppose we choose our a to be .05. Data using a random sample of 20 girls and their verbal section scores is given below. Calculate the sample mean and test statistics. 650 730 510 670 480 800 690 530 590 620 710 670 640 780 650 490 800 600 510
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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