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Q.13

Expert-verifiedFound in: Page 764

Book edition
OER 2018

Author(s)
Barbara Illowsky, Susan Dean

Pages
902 pages

ISBN
9781938168208

What is the Mean Square Factor?

The Mean Square Factor is $2496.6$.

Groups of men from three different areas of the country are to be tested for mean weight.

Group 1 | Group 2 | Group 3 |

216 | 202 | 170 |

198 | 213 | 165 |

240 | 284 | 182 |

187 | 228 | 197 |

176 | 210 | 201 |

To calculate sum of square factor, use Ti-83 calculator. For this, click on STAT $\to $ press $1\to $ EDIT, then put the above given weights of different groups data into the list $L1,L2andL3$. 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 $3$ to fill the values of $L1,L2andL3$. The screen shot is given as below:

Press ENTER. The screenshot of the obtained output of calculated mean square factor is given as below:

Thus, the mean square factor is $2469.6$.

64. Three students, Linda, Tuan, and Javier, are given five laboratory rats each for a nutritional experiment. Each rat's weight is recorded in grams. Linda feeds her rats Formula A, Tuan feeds his rats Formula B, and Javier feeds his rats Formula C. At the end of a specified time period, each rat is weighed again, and the net gain in grams is recorded. Using a significance level of $10\%$, test the hypothesis that the three formulas produce the same mean weight gain

Linda's rats | Tuan's rats | Javier's rats |

43.5 | 47.0 | 51.2 |

39.4 | 40.5 | 40.9 |

41.3 | 38.9 | 37.9 |

46.0 | 46.3 | 45.0 |

38.2 | 44.2 | 48.6 |

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