For each of the hand computation problems you should do the following: State the
ID: 3314704 • Letter: F
Question
For each of the hand computation problems you should do the following:
State the Null Hypothesis (as a sentence)
State the Alternative Hypothesis (as a sentence)
Show all work for each problem.
Report your conclusion (Do you retain or reject the Null? And what does that mean in terms of the problem? That is, you should write a verbal conclusion that relates back to the actual problem)
Problem 4: A ski resort is interested in attracting high sensation seekers to the slopes this winter. They have developed an ad that they think will be attractive to high sensation seekers. They ask 5 randomly selected college students to fill out the sensation seeking scale and then watch and rate how likely they would be to try out the ski resort this winter. Based on the data shown below, is sensation seeking positively related with likelihood of trying out the ski resort (use alpha = .05 and critical value of .8054 )? How much of the variance in likelihood of trying the resort does sensation seeking explain? If a person scores ‘5’ on sensation seeking, what is their predicted likelihood of trying the resort? (note: higher values mean higher sensation seeking and a higher likelihood of trying out the ski resort).
Sensation Seeking: 5 3 4 7 5
Likelihood of Trying Resort: 4 2 3 6 6
Explanation / Answer
4.
Given that,
mean(x)=4.8
standard deviation , s.d1=1.4832
number(n1)=5
y(mean)=4.2
standard deviation, s.d2 =1.7889
number(n2)=5
null, Ho: u1 = u2
alternate, H1: u1 > u2
level of significance, = 0.05
from standard normal table,right tailed t /2 =2.132
since our test is right-tailed
reject Ho, if to > 2.132
we use test statistic (t) = (x-y)/sqrt(s.d1^2/n1)+(s.d2^2/n2)
to =4.8-4.2/sqrt((2.19988/5)+(3.20016/5))
to =0.577
| to | =0.577
critical value
the value of |t | with min (n1-1, n2-1) i.e 4 d.f is 2.132
we got |to| = 0.57735 & | t | = 2.132
make decision
hence value of |to | < | t | and here we do not reject Ho
p-value:right tail - Ha : ( p > 0.5773 ) = 0.29732
hence value of p0.05 < 0.29732,here we do not reject Ho
ANSWERS
---------------
null, Ho: u1 = u2
alternate, H1: u1 > u2
test statistic: 0.577
critical value: 2.132
decision: do not reject Ho
p-value: 0.29732
we do not have enough evidence to support the claim that higher values mean higher sensation seeking and a higher likelihood of trying out the ski resort
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