A scientist claims that pneumonia causes weight loss in mice. The table shows the weights(in grams) of six mice before infection and two days after infection. At =0.01, is there enough evidence to support thescientist's claim? Assume the samples are random anddependent, and the population is normally distributed. Complete parts(a) through(e) below.

Mouse

1

2

3

4

5

6

Weight(before)

23.6

19.8

20.8

21.6

20.3

22.3

Weight(after)

22.2

19.0

19.9

21.2

19.3

21.3

(a) Identify the claim and state H0 and Ha.

What is theclaim?

A.

Pneumonia causes weight loss in mice.

B.

Pneumonia causes weight gain in mice.

C.

Weight loss causes pneumonia in mice.

D.

Weight gain causes pneumonia in mice.

Let d be the hypothesized mean of the difference in the weights (beforeafter). What are H0 and Ha?

A.

H0: d=0

Ha: d0

B.

H0: d0

Ha: d<0

C.

H0: dd

Ha: d>d

D.

H0: d0

Ha: d>0

E.

H0: dd

Ha: d

F.

H0: d0

Ha: d=0

(b) Find the criticalvalue(s) and identify the rejectionregion(s).

Select the correct choice below and fill in any answer boxes to complete your choice.

(Round to three decimal places asneeded.)

A.

t<

nothing

or t>

nothing

B.

t>

nothing

C.

t<

nothing

(c) Calculate d and sd.

d=

nothing

(Round to three decimal places asneeded.)

Calculate sd.

sd=

nothing

(Round to three decimal places asneeded.)

(d) Find the standardized test statistic t.

t=

nothing

(Round to three decimal places asneeded.)

(e) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.

Fail to reject

Reject

the null hypothesis. There

is not

is

enough evidence to

support

reject

the claim that

weight gain

pnuemonia

weight loss

causes

pnuemonia

weight loss

weight gain

in mice.