5) A study was done to determine if a new diet plan would decrease weight. A random sample of 12 individuals were weighed before and after the plan with the results listed below (assume the population of differences is normally distributed): See Data Set for values. Person Before Diet Plan I50 21t152 188 200 255 137 144 2217 After Diet Plan A C H. J K. 245 198 144/210/154 181195 239 133 148 210 179 241 195 Using a significance level of 1%, is there evidence that indicates that this diet plan is effective? YES NO Please show the four steps of your analysis in the space provided below...
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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