Question

**Samples of three different species of amphibian (frog,
toad and salamander) were collected and dissected and the number of
parasites found within each was counted and recorded. The
researchers are interested in determining whether the distribution
of parasites across species is different. The number of parasites
within each sample was counted and recorded.**

Frogs | Toads | Salamanders |

7 | 7 | 3 |

5 | 6 | 3 |

6 | 11 | 2 |

5 | 8 | 5 |

7 | 2 | 4 |

5 | 10 | 2 |

5 | 6 | 5 |

5 | 2 | 2 |

5 | 8 | |

6 | ||

8 |

**The researchers made a qq plot of the data. Does the
normality assumption hold?**

Yes, the normality assumption holds

No, the normality assumption does not hold

**What is the correct null hypothesis? Let μ _{1}
be the mean for toads, μ_{2} for frogs and μ_{3}
for salamanders.**

*H*_{0}: μ_{1} = μ_{2} +
μ_{3}

*H*_{0}: μ_{1} > μ_{2} >
μ_{3}

*H*_{0}: μ_{1} = μ_{2} =
μ_{3}

*H*_{0}: μ_{1} = μ_{2} =
μ_{3} = 10

**What is the correct alternative hypothesis? Let
μ _{1} be the mean for toads, μ_{2} for frogs and
μ_{3} for salamanders.**

*H*_{a}: μ_{i} ≠
μ_{j} for some *i* ≠ *j*

*H*_{a}: μ_{i} ≠
μ_{j} where *i* = *j*

*H*_{a}: μ_{1} − μ_{2} −
μ_{3} = 0

*H*_{a}: μ_{1} ≠ μ_{2} ≠
μ3

**What is the correct distribution for the test
statistic?**

Poisson distribution

χ^{2} distribution

t distribution

F distribution

**What is the average rank for the toad
group?**

**What is the average rank for the frog
group?**

**What is the average rank for the salamander
group?**

**Calculate the test statistic**

**Which interval in the table contains the p value for the
test?**

p-value ≤ 0.005

0.005 < p-value ≤ 0.01

0.01 < p-value ≤ 0.025

0.025 < p-value ≤ 0.05

0.05 < p-value ≤ 0.1

p-value > 0.1

Answer #1

**Excel output foe ANOVA is attached below:**

**###########
Answers:**

*** Null
hypothesis is:**

*H*_{0}: μ_{1} = μ_{2} =
μ_{3}

_{* Alternative
hypothesis:}

*H*_{a}: μ_{1} ≠
μ_{2} ≠ μ3

**# Distribution
to be used:**

**F distribution**

**# P-value
is:**

**0.005 < p-value ≤ 0.01**

Samples of three different species of amphibian (frog,
toad and salamander) were collected and dissected and the number of
parasites found within each was counted and recorded. The
researchers are interested in determining whether the distribution
of parasites across species is different. The number of parasites
within each sample was counted and recorded.
Frogs
Toads
Salamanders
7
7
3
5
6
3
6
11
2
5
8
5
7
2
4
5
10
2
5
6
5
5
2
2...

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