In: Statistics and Probability
Girls from four different soccer teams are to be tested for mean goals scored per game. The entries in the table are the goals per game for the different teams. At the 0.10 level of significance, are the mean goals scored similar among the different teams?
Team 1 |
Team 2 |
Team 3 |
Team 4 |
4 |
1 |
2 |
0 |
3 |
2 |
3 |
1 |
4 |
0 |
2 |
1 |
4 |
3 |
4 |
0 |
2 |
4 |
0 |
2 |
How many teams are we looking at?
Question 9 options:
5 |
|
4 |
|
3 |
Question 10
Is this quantitative or qualitative data?
Question 10 options:
quantitative |
|
qualitative |
Question 11
What is the null hypothesis?
Question 11 options:
All the mean goals scored per game are the same. |
|
At least one of the mean goals scored per game is different. |
Question 12
What is the alternative hypothesis?
Question 12 options:
All the mean goals scored per game are the same. |
|
At least one of the mean goals scored per game is different. |
Question 13
What is F-test statistic?
Question 13 options:
3.65 |
|
6.65 |
|
0.1 |
Question 14
What is the p-value?
Question 14 options:
0.0035 |
|
0.35 |
|
0.035 |
Question 15
What is your conclusion based on the p-value and the level of significance?
Question 15 options:
Fail to reject the null hypothesis |
|
Reject the null hypothesis |
Question 16
What is the proper conclusion?
Question 16 options:
At the 0.10 level of significance, the mean goals scored are not similar among the different teams. |
|
At the 0.10 level of significance, the mean goals scored similar among the different teams. |
The information provided is for 4 teams, namely Team 1, Team 2, Team 3 and Team 4.
Hence, the answer to the first question is 4 teams.
The enclosed data that has been provided is Quantitative in nature since it doesn't cater to any quality nature of the data provided.
All the answers have been provided as required.