108 109 Next THREE questions are based on the following mployed adults in Indian

Question

108 109 Next THREE questions are based on the following mployed adults in Indianapolis metropolitan area (IMA), the average commuting time to work was x 40.5 minutes, there enough evidence, at ?-0.05, to conclude that the average commuting time in IMA is less than the national 110 American workers spend an average of 46 minutes to and from work in a typical day. In a sample of n 104 112 with s 21.6 minutes. 114 average? To perform a hypothesis test, the null and alternative hypotheses for this test are: A B C D H1: ?

Explanation / Answer

X?= 40.5

n= 104

s= 21.6

df= 104-1=103

claim u< 46 H1

opposite u ? 46 H0

H0: u= 46

H1: u< 46 left tail test

alpha= 0.05

Test Statictics

T= (X?-u)*sqrt(n)/s

=(40.5-46)*sqrt(104)/21.6

=-2.5967229

P-value= 0.005393799

rounded p-value=0.005

Decision making

P-value ? Alpha Reject H0

0.005 <0.05

there is enough evidence to support the claim that mean is less than 46.

................................................

Answers

13) B

14) D .....2.60 Reject H0 conclude the averave commuting time in IMA is less than national average

15)P value is 0.005

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