Question Help * The data to the right show the average retirement ages for a ran

Question

Question Help * The data to the right show the average retirement ages for a random sample of workers in Country A and a randorm sample of workers in Country B. Complete parts a and b Country A 633 years 40 CountryB 659 years Sample mean Sample size Population standard deviation 40 50 years 5.3 years a. Perform a hypothesis test using = 0.05 to determine if the average retirement age in Country B is higher than it is in Country A Let population 1 be the workers in Country A and population 2 be the workers in Country B. Identify the null and alternative hypotheses. Choose the correct answer below Calculate the appropriate test statistic. Click to select your answer(s)

Explanation / Answer

Given that,
mean(x)=63.3
standard deviation , 1 =5
number(n1)=40
y(mean)=65.9
standard deviation, 2 =5.3
number(n2)=40
null, Ho: u1 >= u2
alternate, H1: 1 < u2
level of significance, = 0.05
from standard normal table,left tailed z /2 =1.645
since our test is left-tailed
reject Ho, if zo < -1.645
we use test statistic (z) = (x-y)/sqrt(s.d1^2/n1)+(s.d2^2/n2)
zo=63.3-65.9/sqrt((25/40)+(28.09/40))
zo =-2.26
| zo | =2.26
critical value
the value of |z | at los 0.05% is 1.645
we got |zo | =2.257 & | z | =1.645
make decision
hence value of | zo | > | z | and here we reject Ho
p-value: left tail - Ha : ( p < -2.26 ) = 0.01201
hence value of p0.05 > 0.01201,here we reject Ho
ANSWERS
---------------
null, Ho: u1 >= u2
alternate, H1: 1 < u2
test statistic: -2.26
critical value: -1.645
decision: reject Ho
p-value: 0.01201

suffcient evidence to conclude country B is higher than in country A

Related Questions

Navigate

• Browse (All)
• Browse Q
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.