Q is 82, 96, 102, 103, 106, 107, 108, 108, 108, 109, 110, 110, 111, 113, 113, 113, 115, 115, 118, 119, 121, 122, 127, 136, 140, 146 In addition, provide the (estimated) standard error of the estimator that you use in a). a) Calculate a point estimate of the mean value of IQ for the conceptual population of all first graders in this school, and state which estimator you used. b) Calculate a point estimate of the IQ value that separates the lowest 50% of all such students from the highest 50%, and state which estimator you used.
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.
IQ is 82, 96, 102, 103, 106, 107, 108, 108, 108, 109, 110, 110, 111, 113, 113, 113, 115, 115, 118, 119, 121, 122, 127, 136, 140, 146
In addition, provide the (estimated) standard error of the estimator that you use in a).
a) Calculate a point estimate of the
b) Calculate a point estimate of the IQ value that separates the lowest 50% of all such students from the highest 50%, and state which estimator you used.
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