Point Estimate, Margin of Error and Confidence Level

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SUMMARY

The discussion focuses on estimating the mean weight gain of 18 respondents who quit smoking, using statistical methods. The data provided indicates weight gains of 14, 13, 20, 22, 12, 12, 17, 10, 12, 9, 11, 17, 15, 24, 29, 13, 13, and 19 pounds. With a standard deviation of 9 pounds, the mean weight gain can be calculated, and a 95% confidence interval can be established. This analysis is essential for understanding the impact of smoking cessation on weight changes.

PREREQUISITES
  • Understanding of basic statistics, including mean and standard deviation
  • Familiarity with normal distribution concepts
  • Knowledge of confidence intervals and margin of error
  • Ability to perform calculations using statistical formulas
NEXT STEPS
  • Learn how to calculate confidence intervals using the t-distribution
  • Explore the implications of standard deviation in weight gain studies
  • Study the effects of smoking cessation on health metrics beyond weight
  • Investigate statistical software tools for data analysis, such as R or Python
USEFUL FOR

Statisticians, health researchers, and anyone interested in the effects of smoking cessation on weight gain will benefit from this discussion.

bunnypatotie
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1. One of the few negative effects of quitting smoking is weight gain. The data below shows the weight gain (in pounds) of 18 respondents 12 months after they quit. If the mean gain follows a normal distribution with a standard deviation of 9 pounds, estimate the mean weight gain of the 18 respondents at a 95% confidence level.
14 13 20 22 12 12 17 10 12 9 11 17 15 24 29 13 13 19​
 
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Okay, that's a pretty straightforward problem. Do you know how to find the average of 18 numbers?
 

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