On the morning of March 5, 1996, a train with 14 tankers of propane derailed nea
ID: 2929029 • Letter: O
Question
On the morning of March 5, 1996, a train with 14 tankers of propane derailed near the center of the small Wisconsin town of Weyauwega. Six of the tankers were ruptured and burning when the 1700 residents were ordered to evacuate the town. Researchers study disasters like this so that effective relief efforts can be designed for future disasters. About half of the households with pets did not evacuate all of their pets. A study conducted after the derailment focused on problems associated with retrieval of the pets after the evacuation and characteristics of the pet owners. One of the scales measured "commitment to adult animals," and the people who evacuated all or some of their pets were compared with those who did not evacuate any of their pets. Higher scores indicate that the pet owner is more likely to take actions that benefit the pet. Here are the data summaries.
Analyze the data and prepare a short report describing the results. (Use = 0.01. Round your value for t to three decimal places and your P-value to four decimal places.)
Group n x s Evacuated all or some pets 119 7.83 3.61 Did not evacuate any pets 122 6.31 3.59Explanation / Answer
Given that,
mean(x)=7.83
standard deviation , s.d1=3.61
number(n1)=119
y(mean)=6.31
standard deviation, s.d2 =3.59
number(n2)=122
null, Ho: u1 = u2
alternate, H1: u1 > u2
level of significance, = 0.01
from standard normal table,right tailed t /2 =2.358
since our test is right-tailed
reject Ho, if to > 2.358
we use test statistic (t) = (x-y)/sqrt(s.d1^2/n1)+(s.d2^2/n2)
to =7.83-6.31/sqrt((13.0321/119)+(12.8881/122))
to =3.277
| to | =3.277
critical value
the value of |t | with min (n1-1, n2-1) i.e 118 d.f is 2.358
we got |to| = 3.27695 & | t | = 2.358
make decision
hence value of | to | > | t | and here we reject Ho
p-value:right tail - Ha : ( p > 3.2769 ) = 0.00069
hence value of p0.01 > 0.00069,here we reject Ho
ANSWERS
---------------
test statistic: 3.277
p-value: 0.00069
we believe that pet owner is more likely to take actions that benefit the pet
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.