1.) Scenario 1 -The P-value is less than the level of significance (0.0000 > 0.05) so this means that there is sufficient evidence to support the claim that the null hypothesis should be rejected. This means that the average relative skill level of the team is greater than 1340. It means that the Miami Heat from the years 2013 to 2015 is not critically low in skill and that they still have a chance to practice to improve their performance on offense and defense.

2.) Senario 2 - The P-value is less than the level of significance (0.0000 > 0.01) so the null hypothesis should be rejected. This means that there is sufficient evidence to support the claim that the average number of points scored by the Miami Heat in the team's years 2013 to 2015 is less than 106 points. This means that the Miami Heat from the years 2013 to 2015 is not performing very well. They need more practice for offense at 2 pointers, 3 pointers, foul shots, and running plays to improve their performance in scoring more points. They also could look at stamina and physical fitness to see if that has any effect to them running plays properly on offense. Also, they can maybe try changing their playbook to see if trying something different will help.

3.) Scenario 3 - The P-value is greater than the level of significance (0.7917 > 0.05). Since the p-value is greater than the significance level, insufficient evidence exists to reject the null hypothesisH0. This means that the proportion of game that the Miami Heat wins when scoring 102 or more points is 0.90. This means that management can be more confident that their claim is true and that the team is performing well.

4.) Scenario 4 - Since p-value is less than the significance level of 1% (0.0000 < 0.01), sufficient evidence exists to reject the null hypothesisH0in favor of the alternative hypothesisHa. This means that the mean relative skill level of the Miami Heat in 2013-2015 is not the same as the mean relative skill level of the Chicago Bulls in 1996-1998 and that the two teams have different skill levels. The mean relative skill of the Chicago Bulls in the years 1996-1998 is 1739.8. The mean relative skill of the Miami Heat in the years 2013-2015 is 1617.48. This means that the skill level of the Chicago Bulls in 1996-1998 is better than the Miami Heat 2013-2015. The Miami Heat might have to trade their players if they aren't performing in skills. If they choose to keep their players then they need to practice shooting, plays, and defense. Also, improve their team's physical fitness levels and practice more in skills to improve their performance.

Based off the 4 scenarios above

Describe the results of your statistical analyses clearly, using proper descriptions of statistical terms and concepts.

• What is the practical importance of the analyses that were performed?
• Describe what these results mean for the scenario.