A sample of 8 people participated in a low calorie weight loss program for 16 weeks. Each of the participants had their weight (in pounds) recorded before they started the program and after they finished the program. The following results were obtained. Estimate the mean amount of weight a person participating in this low calorie weight loss program can expect to lose at the end of 16 weeks. Assume that the amount of weight people lose after 16 weeks participating in this low calorie weight loss program reasonably follows a normal distribution. Express the estimate both symbolically and verbally
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 sample of 8 people participated in a low calorie weight loss program for 16 weeks. Each of the participants had their weight (in pounds) recorded before they started the program and after they finished the program. The following results were obtained.
Estimate the
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