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 alphaαequals=0.10, 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.
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 alphaαequals=0.10, 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.
Chapter10: Reconstitution Of Powdered Drugs
Section: Chapter Questions
Problem 8.5P
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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
alphaαequals=0.10,
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)
|
22.9
|
19.1
|
23.6
|
21.2
|
23.2
|
21.7
|
|
|
Weight (after)
|
21.4
|
18.3
|
22.9
|
20.9
|
22.1
|
20.8
|
|
(a) Identify the claim and state
Upper H 0H0
and
Upper H Subscript aHa.
What is the claim?
Pneumonia causes weight loss in mice.
Pneumonia causes weight gain in mice.
Weight loss causes pneumonia in mice.
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?
Upper H 0H0:
mu Subscript dμdless than or equals≤0
Upper H Subscript aHa:
mu Subscript dμdgreater than>0
Upper H 0H0:
mu Subscript dμdnot equals≠0
Upper H Subscript aHa:
mu Subscript dμdequals=0
Upper H 0H0:
mu Subscript dμdgreater than or equals≥0
Upper H Subscript aHa:
mu Subscript dμdless than<0
Upper H 0H0:
mu Subscript dμdequals=0
Upper H Subscript aHa:
mu Subscript dμdnot equals≠0
Upper H 0H0:
mu Subscript dμdless than or equals≤d overbard
Upper H Subscript aHa:
mu Subscript dμdgreater than>d overbard
Upper H 0H0:
mu Subscript dμdgreater than or equals≥d overbard
Upper H Subscript aHa:
mu Subscript dμdless than<d overbard
(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.)
tless than<nothing
or
tgreater than>nothing
tless than<nothing
tgreater than>nothing
(c) Calculate
d overbard
and
s Subscript dsd.
d overbardequals=nothing
(Round to three decimal places as needed.)Calculate
s Subscript dsd.
s Subscript dsdequals=nothing
(Round to three decimal places as needed.)(d) Find the standardized test statistic t.
tequals=nothing
(Round to three decimal places as needed.)(e) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.
▼
Reject
Fail to reject
▼
is not
is
▼
support
reject
▼
pnuemonia
weight gain
weight loss
▼
weight loss
weight gain
pnuemonia
Click to select your answer(s).
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