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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 a 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 a 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

Sample size = 33

Nonsmokers

Mean = 29.1

Standard Deviation = 6.042

sample size = 30

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