Question

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 alphaequals0.01​, 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)	19.419.4	22.322.3	19.419.4	19.719.7	20.820.8	22.922.9
Weight​ (after)	17.917.9	21.521.5	18.718.7	19.419.4	19.919.9	21.721.7

​(a) Identify the claim and state

Upper H 0H0

and

Upper H Subscript aHa.

What is the​ claim?

A.

Weight loss causes pneumonia in mice.

B.

Pneumonia causes weight gain in mice.

C.

Pneumonia causes weight loss in mice.

Your answer is correct.

D.

Weight gain causes pneumonia in mice.

Let

mu Subscript dμd

be the hypothesized mean of the difference in the weights

​(beforeminus−​after).

What are

Upper H 0H0

and

Upper H Subscript aHa​?

A.

Upper H 0H0​:

mu Subscript dμdequals=0

Upper H Subscript aHa​:

mu Subscript dμdnot equals≠0

B.

Upper H 0H0​:

mu Subscript dμdless than or equals≤d overbard

Upper H Subscript aHa​:

mu Subscript dμdgreater than>d overbard

C.

Upper H 0H0​:

mu Subscript dμdgreater than or equals≥0

Upper H Subscript aHa​:

mu Subscript dμdless than<0

D.

Upper H 0H0​:

mu Subscript dμdgreater than or equals≥d overbard

Upper H Subscript aHa​:

mu Subscript dμdless than<d overbard

E.

Upper H 0H0​:

mu Subscript dμdnot equals≠0

Upper H Subscript aHa​:

mu Subscript dμdequals=0

F.

Upper H 0H0​:

mu Subscript dμdless than or equals≤0

Upper H Subscript aHa​:

mu Subscript dμdgreater than>0

Your answer is correct.

​(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.

tless than<nothing

B.

tgreater than>3.3653.365

Your answer is correct.

C.

tless than<nothing

or

tgreater than>nothing

Answer 1

The output is:

20.7500	mean Weight (before)
19.8500	mean Weight (after)
0.900	mean difference (Weight (before) - Weight (after))
0.415	std. dev.
0.169	std. error
6	n
5	df
3.365	critical t
5.316	t
.0016	p-value (one-tailed, upper)

= 0.900

s_d = 0.415

t = 5.316

Reject; is; reject; Pneumonia; weight loss