(a) Calculate a 90% confidence interval for the miean reduction. (b) Is there ev

Question

(a) Calculate a 90% confidence interval for the miean reduction. (b) Is there evidence that diastolic blood pressure is reduced by having salt-free diets, use a - 0.05 10. (10 pts) The urinary fluoride concentration (parts per million) was measured both for a sample a sample grazing livestock grazing in an area previously exposed to fluoride pollution and for a similar in an unpolluted region: | Polluted-21.3 18.7-23.0 | 17.1 | 16.8 | 20.9 | 19.7 | Unpolluted 14.2 18.3 17.2 18.4 20.0 Does the data indicate strongly that true average fluoride concentration for livestock grazing in the polluted region is larger than for the unpolluted region? Use the appropriate test at level a 0.01. Points deducted:- out of a possible 40 points Page 2 of2 MATI A

Explanation / Answer

Given that,

mean(x)=5.1667

standard deviation , s.d1=1.6021

number(n1)=6

y(mean)=4.3333

standard deviation, s.d2 =0.5164

number(n2)=6

null, Ho: u1 = u2

alternate, H1: u1 > u2

level of significance, = 0.01

from standard normal table,right tailed t /2 =3.365

since our test is right-tailed

reject Ho, if to > 3.365

we use test statistic (t) = (x-y)/sqrt(s.d1^2/n1)+(s.d2^2/n2)

to =5.1667-4.3333/sqrt((2.56672/6)+(0.26667/6))

to =1.2128

| to | =1.2128

critical value

the value of |t | with min (n1-1, n2-1) i.e 5 d.f is 3.365

we got |to| = 1.21276 & | t | = 3.365

make decision

hence value of |to | < | t | and here we do not reject Ho

p-value:right tail - Ha : ( p > 1.2128 ) = 0.13969

hence value of p0.01 < 0.13969,here we do not reject Ho

ANSWERS

---------------

null, Ho: u1 = u2

alternate, H1: u1 > u2

test statistic: 1.2128

critical value: 3.365

decision: do not reject Ho

p-value: 0.13969

polluted region is larger than the unpolluted region

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