It is generally known that boys grow at an unusually fast rate between the ages of 12 and 14. Following are heights, in inches of 10 boys, measured at age 12 and again at age 14. Age 12: 59.7, 56.3, 63.0, 58.6, 61.1, 59.5, 61.6, 59.3, 62.1, 62.8. Age 14: 65.4, 61.5, 68.5, 63.9, 65.8, 64.5, 66.3, 64.2, 67.1, 68.1. Construct a 98% confidence interval for the mean increase in height for boys between the age of 12 and 14. Let d represents the height at age 14 minus the height at age 12. Use the ti 84 calculator to find the critical value and round the answers to at least two decimal places. A 98% confidence interval for the mean increases in height for boys between 12 and 14 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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