BILE PHONE NOW TO SEE: Revie 6. *(10 points) A colleague of yours describes a un
ID: 3309841 • Letter: B
Question
BILE PHONE NOW TO SEE: Revie 6. *(10 points) A colleague of yours describes a unique breed of sheep that only live on the east side of a particular mountain range, and spend their whole lives facing south. Because of this, he says, the sheep are adapted to have their right legs shorter than their left legs. You suspect he is pulling YOUR leg, but he insists that the data hive students have collected show evidence of this difference. His students measured the right front leg and the left front leg of a dozen sheep in the population. He shares the data with you, and you want to determine if there is a significant difference in the length of the sheep's legs (is the left leg significantly longer than the right). Examination of the data shows that they are normal. Apply the appropriate test of these data, and determine if your colleague is correct or just being silly right 24.7 23.8 22.5 22.9 26.4 25.9 23.1 23.1 20.5 20.42 27.7 27.8 left 26.1 26 22.9 22.2 29.1 28.6 26.3 26.3 23.8 23.2 28.2 27.9 7. *(5 points) These two groups of data are not normal. Do the two groups differ? 0.12 0.26 0.32 0.07 0.04 0.14 0.36 0.42 re 0.24 0.17 0.01 0.08 0.12 0.27 0.01Explanation / Answer
6.
Given that,
mean(x)=25.1083
standard deviation , s.d1=2.6131
number(n1)=12
y(mean)=24.8433
standard deviation, s.d2 =2.5925
number(n2)=12
null, Ho: u1 = u2
alternate, H1: u1 > u2
level of significance, = 0.05
from standard normal table,right tailed t /2 =1.796
since our test is right-tailed
reject Ho, if to > 1.796
we use test statistic (t) = (x-y)/sqrt(s.d1^2/n1)+(s.d2^2/n2)
to =25.1083-24.8433/sqrt((6.82829/12)+(6.72106/12))
to =0.249
| to | =0.249
critical value
the value of |t | with min (n1-1, n2-1) i.e 11 d.f is 1.796
we got |to| = 0.24939 & | t | = 1.796
make decision
hence value of |to | < | t | and here we do not reject Ho
p-value:right tail - Ha : ( p > 0.2494 ) = 0.40383
hence value of p0.05 < 0.40383,here we do not reject Ho
ANSWERS
---------------
null, Ho: u1 = u2
alternate, H1: u1 > u2
test statistic: 0.249
critical value: 1.796
decision: do not reject Ho
p-value: 0.40383
we do not have enough evidence that there is significant difference in lenght (left legs is longer than right legs)
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