A certain mental development index for infants is a standardized measure used in observing infants over time. It is approximately normal with a mean of 104 and a standard deviation of 17. Complete parts a through d. a. Find the z-score corresponding to the upper quartile (Q3) of a normal distribution. The z-score that corresponds to the upper quartile (Q3) of a normal distribution is (Round to two decimal places as needed.) b. Find and interpret the lower quartile and upper quartile of the mental development index. Interpret the lower quartile. Select the correct choice below and fill in the answer box to complete your choice. (Round to one decimal place as needed.) O A. Twenty-five percent of infants score higher than O B. Twenty-five percent of infants score lower than O c. The percentage of infants that score below 75 is %. O D. The percentage of infants that score below 25 is %. Interpret the upper quartile. Select the correct choice below and fill in the answer box to complete your choice. (Round to one decimal place as needed.) O A. The percentage of infants that score 25 is %. O B. The percentage of infants that score below 75 is %.
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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