MHB Point Estimate, Margin of Error and Confidence Level

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The discussion focuses on estimating the mean weight gain of 18 respondents who quit smoking, with a standard deviation of 9 pounds. To calculate the mean weight gain at a 95% confidence level, the average of the provided weight gain data must be determined. The data points include various weight gains ranging from 9 to 29 pounds. The calculation involves finding the mean and applying the appropriate statistical formulas for confidence intervals. Understanding these concepts is essential for accurately interpreting the effects of smoking cessation on weight.
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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?
 
First trick I learned this one a long time ago and have used it to entertain and amuse young kids. Ask your friend to write down a three-digit number without showing it to you. Then ask him or her to rearrange the digits to form a new three-digit number. After that, write whichever is the larger number above the other number, and then subtract the smaller from the larger, making sure that you don't see any of the numbers. Then ask the young "victim" to tell you any two of the digits of the...

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