In: Statistics and Probability
3. Louisiana Governor wishes to assess if “Corona Lockdown” has resulted in weight gain for La residents. He obtained the following data for a small sample of five randomly chosen Louisiana residents’ weights after and before Lockdown:
Weight (lb)
Person After Before
Edward 152 147
Candy 158 153
Joan 147 150
Sam 160 155
Linda 153 145
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Governor claims “There is statistically no significant difference between the average weight of the residents after and before Lockdown.” Use alpha = 0.05 and test the claim. Clearly state your hypothesis, decision rule, name and compute the test statistic, and, finally state your conclusion. Show work. (30 Pts)
Solution:
The concept of paired t-test, it's definition and use case, and the overall concept of Hypothesis Testing along with decision rule and p-value is needed as a prerequisite to understand the Solution to the given problem. The solution is given below: