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 Letu Subscript d μdbe the hypothesized mean of the difference in the weights(before minus−after).What areUpper H0andUpper Ha? A.Upper H0:u Subscript d μd less than or equals≤0Upper Ha:u Subscript d μd greater than>0 B.Upper H0:u Subscript d μd not equals≠0Upper Ha:u Subscript d μd equals=0 C.Upper H0:u Subscript d μd greater than or equals≥0Upper Ha:u Subscript d μd less than<0 D.Upper H0:u Subscript d μd equals=0Upper Ha:u Subscript d μd not equals≠0 E.Upper H0:mu Subscript d μd less than or equals≤d overbardUpper Ha:u Subscript d μd greater than>d overbard F.Upper H0:u Subscript d μd greater than or equals≥d overbardUpper Ha:u Subscript d μd less 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.t less than<Blankort greater than>Blank B.t less than<Blank C.t greater than>Blank(c) Calculated overboardandS Subscript d. d overboard equals=Blank(Round to three decimal places as needed.)Calculate s Subscript d. s Subscript d =Blank(Round to three decimal places as needed.) (d) Find the standardized test statistic t. tequals=Blank(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.

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Answered: A scientist claims that pneumonia…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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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

Let

u Subscript d μd

be the hypothesized mean of the difference in the weights

(before minus−after).

What are

Upper H0

and

Upper Ha?

Upper H0:

u Subscript d μd less than or equals≤0

Upper Ha:

u Subscript d μd greater than>0

Upper H0:

u Subscript d μd not equals≠0

Upper Ha:

u Subscript d μd equals=0

Upper H0:

u Subscript d μd greater than or equals≥0

Upper Ha:

u Subscript d μd less than<0

Upper H0:

u Subscript d μd equals=0

Upper Ha:

u Subscript d μd not equals≠0

Upper H0:

mu Subscript d μd less than or equals≤d overbard

Upper Ha:

u Subscript d μd greater than>d overbard

Upper H0:

u Subscript d μd greater than or equals≥d overbard

Upper Ha:

u Subscript d μd less 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.)

t less than<Blank

t greater than>Blank

t less than<Blank

t greater than>Blank

d overboard

and

S Subscript d.

d overboard equals=Blank

(Round to three decimal places as needed.)

Calculate

s Subscript d.

s Subscript d =Blank

(Round to three decimal places as needed.)

(d) Find the standardized test statistic t.

tequals=Blank

(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.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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