Recall Exploration 7.1 and Example 7.2 about the time needed to round first base, using the narrow angle versus the wide angle. Here are the summary statistics on the difference in times (narrow ˆ’ wide) for the 22 players:

a. Use an appropriate theory-based method to investigate whether the choice of angle affects the running time. Be sure to find and report a standardized statistic and p-value.
b. Use an appropriate theory-based method to find and report a 95% confidence interval for the parameter of interest.
c. Provide a full (four-part) conclusion, including comments on significance, estimation, causation, and generalization.

Sample SD (sec) Sample size Sample average (sec) Difference 0.088 Narrow Wide 22 0.075