Listed below are the numbers of years that archbishops and monarchs in a certain

Question

Listed below are the numbers of years that archbishops and monarchs in a certain country lived after their election or coronation. Treat the values as simple random samples from a larger population. Use a 0.05 significance level to test the claim that the mean longevity for archbishops is less than the mean for monarchs after coronation. Complete parts (a) and (b) below. All measurements are in years.

a. Use a 0.05 significance level, and test the claim that the mean longevity for archbishops is less than the mean for monarchs after coronation.

What are the null and alternative hypotheses? Assume that population 1 consists of the longevity of archbishops and population 2 consists of the longevity of monarchs.

P Value- ? (3 decimals)

Conclusion?

A.Reject the null hypothesis. There is sufficient evidence to support the claim that archbishops have lower mean longevity than monarchs.

B.Reject the null hypothesis. There is not sufficient evidence to support the claim that archbishops have lower mean longevity than monarchs.

C.Fail to reject the null hypothesis. There is sufficient evidence to support the claim that archbishops have lower mean longevity than monarchs.

D.Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that archbishops have lower mean longevity than monarchs.

archbishops 15 16 15 12 18 2 14 18 10 12 14 13 13 12 11 14 16 15 8 17 9 0 21 16 monarchs 13 15 14 12 17 18 17 16 15 17 16 17

Explanation / Answer

X1 = 12.95833, s12= 22.56341, n1=24

X2 = 15.5833, s22 =3.356061 , n2= 12

b. H0: u1=u2, H1: u1<u2

t statistic = X1 - X2 / (s12/n1)+( s22/n2) = -2.1012

p value = 0.02172 (computer generated)

A.Reject the null hypothesis. There is sufficient evidence to support the claim that archbishops have lower mean longevity than monarchs.

Related Questions

Navigate

• Browse (All)
• Browse L
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.