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 α=0.05​, is there enough evidence to support the​ scientist's claim? Assume the samples are random and​ dependent, and the population is normally distributed. Complete parts​ (a) through​ (e) below.   Mouse 1 2 3 4 5 6   Weight​ (before) 21.6 21.8 23.4 20.7 20.5 20.5   Weight​ (after) 20.3 21.1 22.7 20.4 19.4 19.6         Question content area bottom Part 1 ​(a) Identify the claim and state H0 and Ha.   What is the​ claim?     A. Weight gain causes pneumonia in mice.   B. Pneumonia causes weight loss in mice.   C. Weight loss causes pneumonia in mice.   D. Pneumonia causes weight gain in mice. Part 2 Let μd be the hypothesized mean of the difference in the weights ​(before−​after). What are H0 and Ha​?     A. H0​: μd=0 Ha​: μd≠0   B. H0​: μd≥0 Ha​: μd<0   C. H0​: μd≥d Ha​: μd0   E. H0​: μd≤d Ha​: μd>d   F. H0​: μd≠0 Ha​: μd=0 Part 3 ​(b) Find the critical​ value(s) and identify the rejection​ region(s).   Select the correct choice below and fill in any answer boxes to complete your choice. ​(Round to three decimal places as​ needed.)   A. tenter your response here   B. tenter your response here Part 4 ​(c) Calculate d and sd.   d=enter your response here ​(Round to three decimal places as​ needed.) Part 5 Calculate sd.   sd=enter your response here ​(Round to three decimal places as​ needed.) Part 6 ​(d) Find the standardized test statistic t.   t=enter your response here ​(Round to three decimal places as​ needed.) Part 7 ​(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 ▼   reject support the claim that ▼   pnuemonia weight gain weight loss causes ▼   pnuemonia weight gain weight loss in mice.

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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
α=0.05​,
is there enough evidence to support the​ scientist's claim? Assume the samples are random and​ dependent, and the population is normally distributed. Complete parts​ (a) through​ (e) below.
 
Mouse
1
2
3
4
5
6
 
Weight​ (before)
21.6
21.8
23.4
20.7
20.5
20.5
 
Weight​ (after)
20.3
21.1
22.7
20.4
19.4
19.6
 
 
 
 

Question content area bottom

Part 1
​(a) Identify the claim and state
H0
and
Ha.
 
What is the​ claim?
 
 
A.
Weight gain causes pneumonia in mice.
 
B.
Pneumonia causes weight loss in mice.
 
C.
Weight loss causes pneumonia in mice.
 
D.
Pneumonia causes weight gain in mice.
Part 2
Let
μd
be the hypothesized mean of the difference in the weights
​(before−​after).
What are
H0
and
Ha​?
 
 
A.
H0​:
μd=0
Ha​:
μd≠0
 
B.
H0​:
μd≥0
Ha​:
μd<0
 
C.
H0​:
μd≥d
Ha​:
μd<d
 
D.
H0​:
μd≤0
Ha​:
μd>0
 
E.
H0​:
μd≤d
Ha​:
μd>d
 
F.
H0​:
μd≠0
Ha​:
μd=0
Part 3
​(b) Find the critical​ value(s) and identify the rejection​ region(s).
 
Select the correct choice below and fill in any answer boxes to complete your choice.
​(Round to three decimal places as​ needed.)
 
A.
t<enter your response here
or
t>enter your response here
 
B.
t<enter your response here
 
C.
t>enter your response here
Part 4
​(c) Calculate
d
and
sd.
 
d=enter your response here
​(Round to three decimal places as​ needed.)
Part 5
Calculate
sd.
 
sd=enter your response here
​(Round to three decimal places as​ needed.)
Part 6
​(d) Find the standardized test statistic t.
 
t=enter your response here
​(Round to three decimal places as​ needed.)
Part 7
​(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
 
reject
support
the claim that
 
pnuemonia
weight gain
weight loss
causes
 
pnuemonia
weight gain
weight loss
in mice.
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