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As the level of confidence increases, what happens to the width of the confidence interval? Does it increase or decrease? Explain one reason why this

  1. As the level of confidence increases, what happens to the width of the confidence interval? Does it increase or decrease? Explain one reason why this would happen.
  2. Using the 95% confidence interval, compare the BMI of smokers vs. nonsmokers. Write a few sentence paragraph explaining whether these intervals overlap or not. What does that indicate about the differences in BMI between the two groups?
  3. In a few sentences, explain the following: What is one situation in which you as a researcher might choose a 99% confidence interval? A 90% interval? Fully justify your choices.

Group 90% confidence interval 95% confidence interval 99% confidence interval
Smokers

Mean = 28

Standard Deviation = 5.366

Nonsmokers

Mean = 29.1

Standard Deviation = 6.042

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