Q.3. As the population ages, there is an increasing concern about accident-related injuries to the elderly. The maximum lean angle, that is, the farthest that a subject is able to lean and still recover in one step, was determined for both, a sample of younger females (21-29 years old) as well as a sample of older females (67-81 years old). The following observations are consistent with the summary data: ҮF: 29, 34, 33, 27, 28, 32, 31, 34, 32, 27 OF: 18, 15, 23, 13, 12 Does the data suggest that the true average maximum lean angle for older females is more than 10 degrees smaller than it is for younger females? State and test the relevant hypotheses at a significance level of 10.
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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