Male Female 64.9 144.9 96.4 79.0 80.7 84,4 18-29 63.4 57.8 77.2 50.4 52.6 97.0 46.9 71.6 63.9 61.7 61.5 99.4 64.1 76.1 90.2 125.7 105.3 57.7 96.2 56.4 107.4 99.5 74.2 112.8 64.8 94,7 30-49 110.5 84.6 133.3 115.5 75.3 72.6 91.4 92.8 89.9 75.3 110.2 72.3 71.3 73.1 67.8 45.2 84.8 127.5 86.5 77.2 103.2 48.3 79.8 60.1 87.8 101.3 50-80 68.5 43.3 ANOVA table Source DF F-Stat P-value MS 2 3727.7583 1863.8792 4.3546612 0.0176 Age 1 1013.526 1013.526 2.3679444 0.1297 Gender Interaction 2 3137.611 1568.8055 3.6652678 0.0322 54 23113.044 428.01933 Error Total 59 30991.939
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.
Weights The weights (kg) in the following table are from Data Set 1 “Body Data” in Appendix B. Results from two-way analysis of variance are also shown. Use the displayed results and use a 0.05 significance level. What do you conclude?
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