Overview
Below are actual statistics from the 2023-2024 Miami Heat Basketball players. It demonstrates the number of points scored per game for each player on the team during the regular season (in other words, the number of points they scored all season, divided by the total number of games they played).
| Heat Player Name | Points Per Game |
| Tyler Herro | 20.8 |
| Jimmy Butler | 20.8 |
| Bam Adebayo | 19.3 |
| Terry Rozier | 16.4 |
| Duncan Robinson | 12.9 |
| Jaime Jaquez Jr. | 11.9 |
| Caleb Martin | 10 |
| Josh Richardson | 9.9 |
| Kevin Love | 8.8 |
| Kyle Lowry | 8.2 |
| Nikola Jovic | 7.7 |
| Haywood Highsmith | 6.1 |
| Patty Mills | 5.8 |
| Thomas Bryant | 5.7 |
| Delon Wright | 5.4 |
| Dru Smith | 4.3 |
| Jamal Cain | 3.7 |
| Orlando Robinson | 2.8 |
| Cole Swider | 2.3 |
| R.J. Hampton | 1.3 |
| Alondes Williams | 0.7 |
Flag question: Spacer
Below are actual statistics from the 2023-2024 Boston Celtics Basketball players. It demonstrates the number of points scored per game for each player on the team during the regular season (in other words, the number of points they scored all season, divided by the total number of games they played).
| Celtics Player Name | Points Per Game |
| Jayson Tatum | 26.9 |
| Jaylen Brown | 23 |
| Kristaps Porzingis | 20.1 |
| Derrick White | 15.2 |
| Jrue Holiday | 12.5 |
| Payton Pritchard | 9.6 |
| Sam Hauser | 9 |
| Al Horford | 8.6 |
| Neemias Queta | 5.5 |
| Luke Kornet | 5.3 |
| Xavier Tillman | 4 |
| Svi Mykhailiuk | 4 |
| Drew Peterson | 3.7 |
| Oshae Brissett | 3.7 |
| Lamar Stevens | 2.8 |
| Dalano Banton | 2.3 |
| Jaden Springer | 2.1 |
| JD Davison | 2 |
| Jordan Walsh | 1.7 |
Flag question: Question 1Question 10.5 pts
What is the null hypothesis?
View keyboard shortcuts
pView keyboard shortcutsAccessibility Checker22 wordsSwitch to the html editorFullscreenFlag question: Question 2Question 20.5 pts
What is the alternative hypothesis?
View keyboard shortcuts
pView keyboard shortcutsAccessibility Checker25 wordsSwitch to the html editorFullscreenFlag question: Question 3Question 30.25 pts
What is the risk level?
Group of answer choices.05.5
.01
.25
Flag question: Question 4Question 40.25 pts
What is the best statistical test to use?
Group of answer choicest-Test for independent samplesANOVA
t-Test for dependent samples
correlation test
z-test
Flag question: Question 5Question 52 pts
Compute the test statistic. The formula is below for you. Also, remember to use the variance rather than the standard deviation in your calculation. You have already calculated the variance for your previous assignment, so that part is already done! Put your calculated t value below, round your answer to two decimal places:
𝑡=(𝑚1−𝑚2)(((𝑛1−1)𝑠12+(𝑛2−1)𝑠22)𝑛1+𝑛2−2)((𝑛1+𝑛2)𝑛1𝑛2)
Flag question: Question 6Question 61 pts
Now it's time to compare our obtained value (the one you just calculated) to the critical value. First, we'll need the degrees of freedom. What are the degrees of freedom?
Group of answer choices3639
38
40
Flag question: Question 7Question 71 pts
Should we use a "one tailed" or a "two tailed" test for this?
Hint: To figure this out, think about whether it is directional or non-directional. Take a look at your alternative hypothesis (above!), and think about the prompt for the assignment---did we expect a specific team to be better than the other (directional), or are we simply looking at whether the teams are different (non-directional)?
Group of answer choicesone tailedtwo tailed
Flag question: Question 8Question 81 pts
What is the critical value for this statistical test? (hint: you'll need your answers to the previous two questions, as well as your "level of risk"; remember, if the exact degrees of freedom aren't in the t-test table of critical values, you can choose the closest value that is there).
Group of answer choices2.0212.438
1.69
2.03
Flag question: Question 9Question 91 pts
Write up your results as you would see it in a results section of an empirical research paper (in APA style). Make sure to include the means and SDs.
View keyboard shortcuts
pView keyboard shortcutsAccessibility Checker0 wordsSwitch to the html editorFullscreenFlag question: Question 10Question 101 pts
Based on your answer to the previous question, what is your decision?
Group of answer choicesNot enough information to decideReject the null hypothesis
Fail to reject the null hypothesis
Flag question: Question 11Question 111 pts
Imagine that you also wanted to compare if there was a difference between the average amount of time people get stuck in traffic in Boston versus Miami (unlike all the other data we have used this semester, these results are entirely made up!).
An independent samples t-Test comparing the average amount of time spent in traffic per week was statistically significant t(500) = 4.56, p < .05. The average time spent in traffic was significantly more for those living in Miami (M = 1.45, SD = 0.14) than in Boston (M = 1.35, SD = 0.12).
Calculate the effect size for this new t-test, using the Pooled Variance Formula (Below). Round your answer to two decimal places.
𝐸𝑆=(𝑚1−𝑚2)(𝜎12+𝜎22)2
Flag question: Question 12Question 120.5 pts
What "size" is this effect size?
Group of answer choicesSmallMedium
Large
There isn't enough information to answer this question.
No new data to save. Last checked at 11:24pm