Question

! For the following cases, you may use either the P-value approach or the rejection region...

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

  1. Identifying the claim and H0 and Ha,
  2. Finding the appropriate standardized test statistic,
  3. Finding the P-value or the rejection region,
  4. Deciding whether to reject or fail to reject the null hypothesis, and
  5. Interpreting the decision in the context of the original claim.
  1. 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

Homework Answers

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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