Question

Three students, Linda, Tuan, and Javier, are given laboratory
rats 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 0.05, test the
hypothesis that the three formulas produce the same mean weight
gain.

H_{0}: μ_{1} = μ_{2} = μ_{3}

H_{a}: At least two of the means differ from each
other

Forumla A | Forumla B | Forumla C |
---|---|---|

46.8 | 12.2 | 36.2 |

51.6 | 54.5 | 49.4 |

31.2 | 36.2 | 34.5 |

49.6 | 50.9 | 51.9 |

37.9 | 33.8 | 44.5 |

55.3 | 39 | 41.4 |

45.9 | 14.8 | 42.7 |

41 | 28 | 45.3 |

39 | 28.9 | 45.9 |

Run a one-factor ANOVA with α=0.05α=0.05. Report the F-ratio to 4
decimal places and the p-value to 4 decimal places.

F =

p-value =

Based on the p-value, what is the conclusion

- Reject the null hypothesis: at least one of the group means is different
- Fail to reject the null hypothesis: not sufficient evidence to suggest the group means are different

Answer #1

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...

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...

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...

A graphing calculator is recommended.
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...

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