31. Physical activity and enhanced mood. Williams, Dunsiger, Jennings, and Marcu

Question

31. Physical activity and enhanced mood. Williams, Dunsiger, Jennings, and Marcus (2012] conducted a studyto test how enhanced mood during exercise can increase the like- lihood of physical activity in the future. They reported that at 6 months of physical activity, mood scores (rated on a scale from -5 to +5) after a walking exercise were 3.3 ± 1.2, and at 12 months, mood scores after a walking exercise were 3.3 ± 1.3 (mean ± standard error]. Assuming these data are normally distributed, use the steps to conduct a z transformation to determine the following probabilities: (a) What is the probability that a sample mean selected from this population would show no change (0] or a negative change (less than 0) at 6 months of phys- ical activity? (bl What is the probability that a sample mean selected from this population would show no change (0) or a negative change (less than 0) at 12 months of physical activity?

Explanation / Answer

Ans:

a)No change or less than 0,means that

z<=0

P(z<=0)=0.5

b)P(z<=0)=0.5

(As,normal distribution is symmetrical around the mean)

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