Remaining Time: 2 hours, 28 minutes, 24 seconds. n Question Completion Status: 2
ID: 2923788 • Letter: R
Question
Remaining Time: 2 hours, 28 minutes, 24 seconds. n Question Completion Status: 25 26 27 28 29 30 A random sample of 16 communities in western Kansas gave the following information for people under 25 years of age x1: Rate of hay fever per 1000 population for people under 25 121 110 90 82 124 112 102 91 122 112 114 108 112 81 122 142 A random sample of m2 14 regions in western Kansas gave the following information for people over S0 years old. x2: Rate of hay fever per 1000 population for people over 50 110 88 126 87 112 73 100 94 92 100 102 102 89 90 Assume that the hay fever rate in each age group has an approximately normal distri 19 20 21 22 23 24 er nate in easch aoe oroup has an aparoximatel norimal distibuton o the dara indicat hat as hay fever? Use = 0.05. What is the value of the test statistic? A. -0.550 CB. 0.550 C. -2.141 D.-1.519 ·E. 2.141 MacBook AirExplanation / Answer
1 = 109.06
s1 = 16.53
2 = 97.5
s2 = 13.02
SE = sqrt[ (s12/n1) + (s22/n2) ]
= sqrt[16.532/16 + 13.022/14]
= 5.4
t = [ (1 - 2 ) ] / SE
= [(109.06 - 97.5)] / 5.4
= 2.141
Option-E)2.141