uestion Help Test the hypothesis that 1t\": at the o:OO!level Population 1 Popul
ID: 3358999 • Letter: U
Question
uestion Help Test the hypothesis that 1t": at the o:OO!level Population 1 Population 2 19 4.0 In1-19 of significance for the given sample data Assume that the populations are normally distributed. Use the P-value approach 2.7 State the null and alternative hypotheses for this test Ho Hy Use technology to find the P-value for this test The P-value is (Round to three decimal places as needed) Make a statement regarding the null hypothesis and draw a conclusion for this test Since the P-value is conclude that the standard deviation of Population 1 s significantly different from the standard deviation of Populatian 2 at the :0 01 level of | the = 0 01 level of significance, | the null hypothesis. There | | sufficient evidence to significanceExplanation / Answer
Given that,
sample 1
s1^2=16, n1 =19
sample 2
s2^2 =7.29, n2 =19
null, Ho: ^2 = ^2
alternate, H1: ^2 != ^2
level of significance, = 0.01
from standard normal table, two tailed f /2 =3.56
since our test is two-tailed
reject Ho, if F o < -3.56 OR if F o > 3.56
we use test statistic fo = s1^1/ s2^2 =16/7.29 = 2.19
| fo | =2.19
critical value
the value of |f | at los 0.01 with d.f f(n1-1,n2-1)=f(18,18) is 3.56
we got |fo| =2.195 & | f | =3.56
make decision
hence value of |fo | < | f | and here we do not reject Ho
ANSWERS
---------------
null, Ho: ^2 = ^2
alternate, H1: ^2 != ^2
test statistic: 2.19
critical value: -3.56 , 3.56
p-value = 0.104
decision: do not reject Ho
failed to reject the null, there is not suffcient evidence,
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