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3. (3 marks) Antonia also thinks that meditation will change happiness levels, but she's not sure in which direction the change will occur. So, Antonia

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3. (3 marks) Antonia also thinks that meditation will change happiness levels, but she's not sure in which direction the change will occur. So, Antonia decides to use a different design and tests 5 people before and after undergoing a meditation regimen. The data follows. Construct the 95% Confidence Interval for the average change in happiness ratings (Note: you do not have to conduct a t-test, you just have to construct the confidence interval). The estimated standard error of the difference is 0.86. Before After 3 5 5 6 4 4 7 5 5 BONUS: Explain the meaning of what you just calculated in one sentence. BONUS: If you had conducted a t-test, would you have rejected or failed to reject the null? BONUS: If Antonia had used a larger sample, would her confidence interval be narrower (i.e., smaller) or wider (i.e., larger)

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