(Still focusing on the study that found Americans spent an average of 5.1 hours on leisure per day). Without any prior expectations, you want to see if entrepreneurs spend different amounts of time on leisure per day than the national average. You find in a sample of 30 entrepreneurs, the average amount of leisure time per day was 360 minutes with a standard deviation of 80 minutes. Use a confidence interval (where α = .05) to determine if there is a significant difference in amount of leisure time per day between the national average and entrepreneurs. 9. List your degrees of freedom 10. List the t-value used to construct your confidence interval 11. List the lower bound of your confidence interval 12. List the upper bound of your confidence interval 13. Is the difference between the national average and retired adults statistically significant? (Yes/No)
Given that ,
, s = 80 and n = 30
9.
Degrees of freedom = n-1 = 30 -1 =29
10.
t-value used to construct your confidence interval = 2.045
95% confidence interval for mean is,
Yes there is statistically significant difference.
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