The followings are the questions I have trouble to answer. I am appreciated your
ID: 3222183 • Letter: T
Question
The followings are the questions I have trouble to answer. I am appreciated your help. May I ask if you provide a step by step explanation, please? Thanks!
1.
I n some two-way contingency table problem, there are r = 3 rows and
c = 6 columns. We test
H0 : The two classifications are independent
vs.
Ha
: The two classifications are dependent
at the = 0.1 level. Find the rejection region for this test.
(a) 2 > 4.86518
(b) 2 > 15.9871
(c) 2 > 25.9894
(d) 2 > 18.5494
2.
The data for a random sample of 6 paired observations are shown as
follows:
Pair Population 1 Population 2
1 49 50
2 20 22
3 26 29
4 32 37
5 38 44
6 58 65
Let µ 1 and µ 2, respectively, be the means of populations 1 and 2. Assume that the population of differences has an approximate normal
distribution.
(a) Find a 95% confidence interval on µ 1 µ 2.
(b) Test H0 : µ 1 = µ 2 vs. Ha : µ 1 6= µ 2 at the 0.05 level.
Explanation / Answer
Dear student, I am only answering the first question as per Chegg Guidelines.
The degrees of freedom or 2 way contingenecy test of independence is:
df=(c-1)(r-1)=2*5=10
For alpha=0.1, and d=10, the critical value of chi squared is 15.9871, which is option (b)
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.