Scores for students on the verbal portion of the SAT-I test are normally distributed with a mean of 509 and a standard deviation of 108. A random sample of 36 students who took the SAT-I test is selected. Let ?̅ represent the mean score of the sample. 3. Find the mean and standard deviation of ?̅, ?.?., ?D̅,?D̅. (a) ?D̅ = 509 ?D̅ = 108 , (b) ?D̅ = 509 ?D̅ = 18 ?D̅, (c) ?D̅ = 84.833 ?D̅ = 108, (d) ?D̅ =509 ?D̅ =3, (e) ?D̅ = 14.139 ?D̅ =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.
Scores for students on the verbal portion of the SAT-I test are
3. Find the mean and standard deviation of
?̅, ?.?., ?D̅,?D̅.
(a) ?D̅ = 509 ?D̅ = 108 , (b) ?D̅ = 509 ?D̅ = 18 ?D̅, (c) ?D̅ = 84.833
?D̅ = 108, (d) ?D̅ =509 ?D̅ =3, (e) ?D̅ = 14.139 ?D̅ =3
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