A researcher wanted to test the hypothesis that, "There is a significant difference between the mean BMI of regular soda drinkers in 2005 and 2018." According to the National Health survey for 2005, the mean BMI for regular soda drinkers was 26.5. In 2018, the researcher collected a sample of 62 regular soda drinkers, measured their BMIs, and found that the average BMI was 29 with a standard deviation of 5.5. Conduct a full hypothesis testing. Test at 5% level of significance. (Show your work for full credits, make sure to state your hypotheses, test statistic, p value, and conclusion.)

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A: Given Information: Sample size (n) = 22  Mean (u) = 12 Standard deviation (s) = 5.4

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A: Apologies for the inconvenience.   We graph the given equations using graphing calculator.

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A: The answer is given below

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