Quiz: 8.1-8.2 Quiz Review This Question: 1 pt 50113(1 complete) This Qui Test th
ID: 3061889 • Letter: Q
Question
Quiz: 8.1-8.2 Quiz Review This Question: 1 pt 50113(1 complete) This Qui Test the claim about the dit erence between t o population means , and P2 at the level od s gnlicance a Assume the samples are rar om and independent, and populatina are normal, distributed Claim .sp2 ; :001 Population statistics 0,-35,02 14 Sample statistics x,-14. n1-30, x2-12, n2 28 Determine the alternative hypothesis Determine the standardized test statistic z-O(Round to two doornal places as needed) Deteemine the P-value p.value-C] (Round to three decimal places as needed ) What is the roper decision? O A. Reject Ho There is enough evidence at the 1% level of significance to reject the claim Click to select your answen's) ^Explanation / Answer
Given that,
mean(x)=14
standard deviation , 1 =3.5
number(n1)=30
y(mean)=12
standard deviation, 2 =1.4
number(n2)=28
null, Ho: u1 = u2
alternate, H1: 1 != u2
level of significance, = 0.01
from standard normal table, two tailed z /2 =2.576
since our test is two-tailed
reject Ho, if zo < -2.576 OR if zo > 2.576
we use test statistic (z) = (x-y)/sqrt(s.d1^2/n1)+(s.d2^2/n2)
zo=14-12/sqrt((12.25/30)+(1.96/28))
zo =2.89
| zo | =2.89
critical value
the value of |z | at los 0.01% is 2.576
we got |zo | =2.892 & | z | =2.576
make decision
hence value of | zo | > | z | and here we reject Ho
p-value: two tailed ( double the one tail ) - Ha : ( p != 2.89 ) = 0.00383
hence value of p0.01 > 0.00383,here we reject Ho
ANSWERS
---------------
null, Ho: u1 = u2
alternate, H1: 1 != u2
test statistic: 2.89
critical value: -2.576 , 2.576
decision: reject Ho
p-value: 0.00383
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