Question

A local supermarket claims that the waiting time for its customers to be served is the lowest in the area. Acompetitor's supermarket checks the waiting times at both supermarkets. The sample statistics are listed below.Test the local supermarket's hypothesis. Use΅= 0.05. Local SupermarketCompetitor Supermarket

n1= 15       n2= 16

x1= 5.3 minutes   xbar2=5.6 minuets

s1= 1.1 minutes    s2= 1.0 minutes

A) Hypothises:

B) Critical Values tcrutical

C) Test statistic tstat and the decision to reject or fail to reject

D) The conclusion about the decision

Answer 1

Ans:

a)

b)df=15+16-2=29

critical t value=-1.699

Rejection region:t<-1.699

c)

pooled standard deviation=sqrt(((15-1)*1.1^2+(16-1)*1^2)/(15+16-2))=1.0495

standard error=1.0495*SQRT((1/15)+(1/16))=0.3772

Test statistic:

t=(5.3-5.6)/0.3772

t=-0.795

As,test statistic does not fall in rejection region,we fail to reject H0.

d)There is not sufficient evidence to conclude that the waiting time for its customers to be served is the lowest in the area.