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Q.13.3

Expert-verifiedFound in: Page 754

Book edition
OER 2018

Author(s)
Barbara Illowsky, Susan Dean

Pages
902 pages

ISBN
9781938168208

Four sports teams took a random sample of players regarding their GPAs for the last year. The results are shown in Table 13.8

Basketball | Baseball | Hockey | Lacrosse |

3.6 | 2.1 | 4.0 | 2.0 |

2.9 | 2.6 | 2.0 | 3.6 |

2.5 | 3.9 | 2.6 | 3.9 |

3.3 | 3.1 | 3.2 | 2.7 |

3.8 | 3.4 | 3.2 | 2.5 |

Use a significance level of $5\%$, and determine if there is a difference in GPA among the teams .

According to the output, the P-value is$.92$. So, at the$5\%$ level of significance null hypothesis will be rejected. Thus, mean number of tomato production were different in the five different type of soil cover.

Following are the Four sports teams took a random sample of players regarding their GPAs for the last year.

Basketball | Baseball | Hockey | Lacrosse |

3.6 | 2.1 | 4.0 | 2.0 |

2.9 | 2.6 | 2.0 | 3.6 |

2.5 | 3.9 | 2.6 | 3.9 |

3.3 | 3.1 | 3.2 | 2.7 |

3.8 | 3.4 | 3.2 | 2.5 |

Consider the following data of four team to check significance difference in GPA among the four teams

Basketball | Baseball | Hockey | Lacrosse |

3.6 | 2.1 | 4.0 | 2.0 |

2.9 | 2.6 | 2.0 | 3.6 |

2.5 | 3.9 | 2.6 | 3.9 |

3.3 | 3.1 | 3.2 | 2.7 |

3.8 | 3.4 | 3.2 | 2.5 |

To check the significance difference in GPA among the four teams, use Ti-83 calculator. For this, click on STAT $\to $ press1 $\to $ EDIT, then put data into the list ${L}_{1},{L}_{2},{L}_{3},{L}_{4}$. The screenshot is given as below:

Now Again press STAT $\to $ arrow over the TESTS $\to $ arrow down to ANOVA $\to $ Press var then select1, press var then select 2, press var then select 3 , and press var then select 4 to fill the values of ${L}_{1},{L}_{2},{L}_{3},{L}_{4}$. The screen shot is given as below:

Press ENTER. the screenshot of the obtained output is given below:

According to the output, the P-value is$.92$. So, at the$5\%$ level of significance null hypothesis will be rejected. Thus, mean number of tomato production were different in the five different type of soil cover.

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.

Team 1 | Team 2 | Team 3 | Team 4 |

1 | 2 | 0 | 3 |

2 | 3 | 0 | 4 |

0 | 2 | 1 | 4 |

3 | 4 | 1 | 3 |

2 | 4 | 0 | 2 |

What is $S{S}_{\text{between}}$?

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