est. Chapter &Post-Test; Time Remaining: 00 41 51 Subm This Question: 1 pt 4of5(

Question

est. Chapter &Post-Test; Time Remaining: 00 41 51 Subm This Question: 1 pt 4of5(O complete ) ? This Test: 5 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 ater iefection Ala 005, is there enough evidence to support the scientist's claim Assume the samples are random and dependent and he population ? norrnally detreuted Complete parts (a) bogh () tel- Mouse Weight (before) t Lahes) (C) Calculate d and s ?(Round to threo decimal places as needed) Round to three decimal places as needed) (Round to theee decimal places as needed ) Calculate (d) Find the standardiced test statistict e) Diecide whether to reject or Sail to reject the nul hypothwsls and interpret the decision in the contexet of the original claim the claim that n mice the null hypothesis There cick to select your answerts) ip 8

Explanation / Answer

#### By using R command

> Before=c(21.9,19.4,23.1,23.6,21.5,22.1)
> Before
[1] 21.9 19.4 23.1 23.6 21.5 22.1
> After=c(21.7,19.4,22.9,23.7,21.4,22.1)
> After
[1] 21.7 19.4 22.9 23.7 21.4 22.1
> d=Before-After
> d
[1] 0.2 0.0 0.2 -0.1 0.1 0.0
> dbar=sum(d)/length(d)
> dbar
[1] 0.06666667
> Sd=sd(d)
> Sd
[1] 0.121106
> t.test(Before,After,paired=TRUE)

Paired t-test

data: Before and After
t = 1.3484, df = 5, p-value = 0.2354
alternative hypothesis: true difference in means is not equal to 0
95 percent confidence interval:
-0.0604263 0.1937596
sample estimates:
mean of the differences
0.06666667

>

c)

a) dbar =0.06666667

b) Sd= 0.121106

d) t = 1.3484

e) Here p-value = 0.2354 which indicates that we are unable to reject the null hypothesis. We do not have sufficient evidence to reject the claim that pneumonia causs weight loss in Mice.

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