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. Atalphaαequals=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. Mouse123456 Weight (before)22.919.123.621.223.221.7 Weight (after)21.418.322.920.922.120.8 (a) Identify the claim and stateUpper H 0H0andUpper H Subscript aHa. What is the claim? 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.Letmu Subscript dμdbe the hypothesized mean of the difference in the weights(beforeminus−after).What areUpper H 0H0andUpper H Subscript aHa? A.Upper H 0H0:mu Subscript dμdless than or equals≤0Upper H Subscript aHa:mu Subscript dμdgreater than>0 B.Upper H 0H0:mu Subscript dμdnot equals≠0Upper H Subscript aHa:mu Subscript dμdequals=0 C.Upper H 0H0:mu Subscript dμdgreater than or equals≥0Upper H Subscript aHa:mu Subscript dμdless than<0 D.Upper H 0H0:mu Subscript dμdequals=0Upper H Subscript aHa:mu Subscript dμdnot equals≠0 E.Upper H 0H0:mu Subscript dμdless than or equals≤d overbardUpper H Subscript aHa:mu Subscript dμdgreater than>d overbard F.Upper H 0H0:mu Subscript dμdgreater than or equals≥d overbardUpper 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.) A.tless than<nothingortgreater than>nothing B.tless than<nothing C.tgreater than>nothing(c) Calculated overbardands Subscript dsd. d overbardequals=nothing(Round to three decimal places as needed.)Calculates 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. ▼ RejectFail to rejectthe null hypothesis. There▼ is notisenough evidence to▼ supportrejectthe claim that▼ pnuemoniaweight gainweight losscauses▼ weight lossweight gainpnuemoniain mice. Click to select your answer(s).

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Answered: A scientist claims that pneumonia…

Human Heredity: Principles and Issues (MindTap Course List)

11th Edition

ISBN:9781305251052

Author:Michael Cummings

Publisher:Michael Cummings

Chapter14: Biotechnology And Society

Section: Chapter Questions

Problem 10QP

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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

tgreater than>nothing

tless than<nothing

tgreater than>nothing

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

the null hypothesis. There

▼

is not

enough evidence to

▼

support

reject

the claim that

▼

pnuemonia

weight gain

weight loss

causes

▼

weight loss

weight gain

pnuemonia

in mice.

Click to select your answer(s).

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