6. The below data are a sample of cholesterol levels taken from 24 hospital employees who were on a standard American diet and who agreed to adopt a vegetarian diet for 1 month. Serum-cholesterol measurements were made before adopting the diet and 1 month after. TABLE 2.15 Serum-cholesterol levels (mg/dL) before and after adopting a vegetarian diet 1. Perform the normality testing of the given data and interpret the different types of normally testing, 2. What kind of statistical test would you perform for hypothesis testing and give your justification. Subject Before After Difference 1 195 146 49 155 178 2 145 -10 3 205 27 4 159 146 13 5 244 208 36 166 147 19 250 202 48 8. 236 215 21 192 184 8. 10 224 208 16 11 238 206 32 12 197 169 28 13 169 182 -13 14 158 127 31 15 151 149 16 197 178 19 17 180 161 19 18 222 187 35 19 168 176 -8 20 168 145 23 21 167 154 13 22 161 153 8. 23 178 137 41 24 137 125 12
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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