Q.5. Strengths measured in tests on 26 building elements are given below arranged in the increasing order: I12 3 4 56 78 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 X 69.5 71.9 72.673.173.373.5 74.1 74.275.3/75.5 75.775.8|76. 176.2 76.2|76.9/77.0/77.9 78.179.6|79.779.9| 80.1 82.283.793.7| Test the hypothesis that strength is normally distributed with following tests: a) (Chi-Square) test at 10% level of significance (with 5 class intervals of equal probability) K-S (Kolmogorov-Smirnov) test at 10% level of significance.
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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