Homework Answers
22.
Given that,
sample 1
s1^2=17029.3365, n1 =7
sample 2
s2^2 =5360.494, n2 =8
null, Ho: σ^2 = σ^2
alternate, H1: σ^2 != σ^2
level of significance, α = 0.1
from standard normal table, two tailed f α/2 =3.866
since our test is two-tailed
reject Ho, if F o < -3.866 OR if F o > 3.866
we use test statistic fo = s1^1/ s2^2 =17029.3365/5360.494 =
3.177
| fo | =3.177
critical value
the value of |f α| at los 0.1 with d.f f(n1-1,n2-1)=f(6,7) is
3.866
we got |fo| =3.177 & | f α | =3.866
make decision
hence value of |fo | < | f α | and here we do not reject
Ho
ANSWERS
---------------
null, Ho: σ^2 = σ^2
alternate, H1: σ^2 != σ^2
test statistic: 3.177
critical value: -3.866 , 3.866
decision: do not reject Ho
we do not have enough evidence to support the claim that the
variance of heights of tall building in Denver is equal to the
variance of heights of tall buildings
in Detroit.
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