i 1026 An independentsamples t test allinclusive resorts and

i. 10.26 An independent-samples t test, “all-inclusive” resorts, and alcohol consumption: At some vacation destinations, “all-inclusive” resorts allow you to pay a flat rate and then eat and drink as much as you want. There has been concern about whether these deals might lead to excessive consumption of alcohol by young adults on spring break trips. You decide to spend your spring break collecting data on this issue. Of course, you need to take all of your friends on this funded research trip, because you need a lot of research assistants! You collect data on the number of drinks consumed in a day by people staying at all-inclusive resorts and by those staying at noninclusive resorts. Your data include the following: All-inclusive resort guest: 10, 8, 13 Noninclusive resort guests: 3, 15, 7 a. Conduct all six steps of an independent-samples t test. Be sure to label all six steps. b. Report the statistics as you would in a journal article.

Solution

Set Up Hypothesis
Null, Yes it creases the cosumption Ho: u1 > u2
Alternate Hypothesis, There Is Significance between them - H1: u1 < u2
Test Statistic
X(Mean)=10.33
Standard Deviation(s.d1)=2.5166 ; Number(n1)=3
Y(Mean)=11.667
Standard Deviation(s.d2)=7.5718; Number(n2)=3
we use Test Statistic (t) = (X-Y)/Sqrt(s.d1^2/n1)+(s.d2^2/n2)
to =10.33-11.667/Sqrt((6.33328/3)+(57.33216/3))
to =-0.29
| to | =0.29
Critical Value
The Value of |t | with Min (n1-1, n2-1) i.e 2 d.f is 2.92
We got |to| = 0.29023 & | t | = 2.92
Make Decision
Hence Value of |to | < | t | and Here we Do not Reject Ho
P-Value:Left Tail - Ha : ( P < -0.2902 ) = 0.39948
Hence Value of P0.05 < 0.39948,Here We Do not Reject Ho

We conclude that it creases the cosumption