Relationship between error margin and sample size

Six months ago, several of Molly’s friends joined the Trimtime Fitness Center. Each of them participated in Trimtime’s weight-reduction and fitness regimen. All reported substantial weight reduction, and all are visibly slimmer. Molly is convinced. She joins Trimtime and enrolls in the same program, hoping and expecting to see the same results. She is especially delighted to learn that Trimtime had adjusted its program to make it even more effective in a shorter period of time. Discuss whether this is an analogical argument or an inductive generalization, and discuss the strength or weakness of the argument, using the appropriate terminology from chapter 10.

 What is the definition of a “randomly chosen sample” (according to the definition discussed in your text), and what is the goal of randomly choosing a sample?

Explain the relationship between error margin and sample size (assuming the confidence level remains the same), why the concept of error margin is necessary in an inductive argument, and how error margin is applied to the target population. You may want to use an example to help explain your answer


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