A data set from a study that examined the effect of a specific diet on blood pressure is below. Participants (n = 72) were randomly assigned either to a group that was put on the diet (Diet = Present) or to a group that was not put on the diet (Diet = Absent), and researchers wanted to know whether the diet had a significant impact on blood pr
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.
A data set from a study that examined the effect of a specific diet on blood pressure is below. Participants (n = 72) were randomly assigned either to a group that was put on the diet (Diet = Present) or to a group that was not put on the diet (Diet = Absent), and researchers wanted to know whether the diet had a significant impact on blood pressure.
Before conducting the test, evaluate the normality assumption for the test and report the results (i.e., is the assumption reasonable for this analysis/data set?).
| Biofeedback | Drug | Diet | BldPres |
| Present | X | Absent | 170 |
| Present | X | Absent | 175 |
| Present | X | Absent | 165 |
| Present | X | Absent | 180 |
| Present | X | Absent | 160 |
| Present | X | Absent | 158 |
| Present | X | Present | 161 |
| Present | X | Present | 173 |
| Present | X | Present | 157 |
| Present | X | Present | 152 |
| Present | X | Present | 181 |
| Present | X | Present | 190 |
| Present | Y | Absent | 186 |
| Present | Y | Absent | 194 |
| Present | Y | Absent | 201 |
| Present | Y | Absent | 215 |
| Present | Y | Absent | 219 |
| Present | Y | Absent | 209 |
| Present | Y | Present | 164 |
| Present | Y | Present | 166 |
| Present | Y | Present | 159 |
| Present | Y | Present | 182 |
| Present | Y | Present | 187 |
| Present | Y | Present | 174 |
| Present | Z | Absent | 180 |
| Present | Z | Absent | 187 |
| Present | Z | Absent | 199 |
| Present | Z | Absent | 170 |
| Present | Z | Absent | 204 |
| Present | Z | Absent | 194 |
| Present | Z | Present | 162 |
| Present | Z | Present | 184 |
| Present | Z | Present | 183 |
| Present | Z | Present | 156 |
| Present | Z | Present | 180 |
| Present | Z | Present | 173 |
| Absent | X | Absent | 173 |
| Absent | X | Absent | 194 |
| Absent | X | Absent | 197 |
| Absent | X | Absent | 190 |
| Absent | X | Absent | 176 |
| Absent | X | Absent | 198 |
| Absent | X | Present | 164 |
| Absent | X | Present | 190 |
| Absent | X | Present | 169 |
| Absent | X | Present | 164 |
| Absent | X | Present | 176 |
| Absent | X | Present | 175 |
| Absent | Y | Absent | 189 |
| Absent | Y | Absent | 194 |
| Absent | Y | Absent | 217 |
| Absent | Y | Absent | 206 |
| Absent | Y | Absent | 199 |
| Absent | Y | Absent | 195 |
| Absent | Y | Present | 171 |
| Absent | Y | Present | 173 |
| Absent | Y | Present | 196 |
| Absent | Y | Present | 199 |
| Absent | Y | Present | 180 |
| Absent | Y | Present | 203 |
| Absent | Z | Absent | 202 |
| Absent | Z | Absent | 228 |
| Absent | Z | Absent | 190 |
| Absent | Z | Absent | 206 |
| Absent | Z | Absent | 224 |
| Absent | Z | Absent | 204 |
| Absent | Z | Present | 205 |
| Absent | Z | Present | 199 |
| Absent | Z | Present | 170 |
| Absent | Z | Present | 160 |
| Absent | Z | Present | 179 |
| Absent | Z | Present | 179 |
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