Question

as of years that archbishops and monarchs in a certain country lived after their election or coronation. Assume that the two samples are om normally distributed populations. Do not assume that the population standard deviations are equal Use a 0.01 significance el tot pps is less than the mean for monarchs after coronation. All measurements are in years. me table of longevities of archbishops and monarchs. ative nypoteses? Assume that population consists of the longevity or archbishops and population consists of the longevity or monar O Longevities of Archbishops and Monarchs Х - und to Archbishops Monarchs 17 14 15 17 15 15 18 15 13 16 15 14 17 18 16 2 17 17 16 8 18 17 15 16 12 11 16 13 2 15 10 16 17 13 0 19 16 to thre test Print Done hypoth hypothesis. There is sufficient evidence to support the claim that archbishops have lower mean longevity than monarchs, thesis. There is not sufficient evidence to support the claim that archbishops have lower mean longevity than monarchs thesis. There is sufficient evidence to support the claim that archbishops have lower mean longevity than monarchs textbooks

Answer 1

For Archbishops : mean =13.875 , s.d = 4.5331 , n1 = 24

For monarchs : mean =15.6667 , s.d = 1.3707 , n2 =12

Since it is assumed that the population variances are unequal, the t-statistic is computed as follows: X-X t = 13.875 - 15.667 1.781 4.53312 + 137073 12

Answer: -1.78 we = 0.043 Noll and Alternative hypothesis option (B) Hoill, = Hill, <ll, Test statistic is P-value: with #value =-lifs, -118, df: 30.078 ged P-value conclusion : Pevalue> lois i.e., 0.043 > 0.01 So fail to reject Ho Answer: option (A) Note: I'To find df (degrees of freedom) another method i.e. using de: smaller (nirl, h, -1) = smaller (23, 11) So at starlofs, defill Clefterfailed) we get Pivolue: 0.051 answer & use according to your