Question

! For the following cases, you may use either the P-value approach or the rejection region approach to present a full hypothesis test, including:

- Identifying the claim and H
_{0}and H_{a,} - Finding the appropriate standardized test statistic,
- Finding the P-value or the rejection region,
- Deciding whether to reject or fail to reject the null hypothesis, and
- Interpreting the decision in the context of the original claim.

- A scientist claims that pneumonia causes weight loss in mice. The table below shows weight, in grams, of six mice before infection with pneumonia and two days after infection. At α = 0.01, evaluate the scientist’s claim.

Before After

Mouse 1 19.8 18.4

Mouse 2 20.2 19.6

Mouse 3 19.9 19.1

Mouse 4 22.1 20.7

Mouse 5 23.4 22.2

Mouse 6 23.6 23.0

Answer #1

Ans:

Before | after | d | |

1 | 19.8 | 18.4 | -1.4 |

2 | 20.2 | 19.6 | -0.6 |

3 | 19.9 | 19.1 | -0.8 |

4 | 22.1 | 20.7 | -1.4 |

5 | 23.4 | 22.2 | -1.2 |

6 | 23.6 | 23 | -0.6 |

d-bar | -1.000 | ||

sd | 0.379 |

Let d=after-before

a)Claim: pneumonia causes weight loss in mice

(claim)

Ha is claim.

b)

Test statistic:

t=(-1.00-0)/(0.379/sqrt(6))

t=-6.45

c)

df=6-1=5

p-value=P(t<-6.45)=tdist(6.45,5,1)=0.0007

d)

As,p-value<0.01,we **reject the null
hypothesis.**

e)

There **is sufficient evidence to support the claim that
pneumonia causes weight loss in mice.**

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