the following sample data reflect shipments recievd by a large firm from three d
ID: 3051742 • Letter: T
Question
the following sample data reflect shipments recievd by a large firm from three different vendors
vendor defective Acceptable
1 16 133
2 25 74
3 24 187
a. choose the competing hypotheses to determine whether quality is associated with the source of the shipments a) quality and source of shiment (vendor) are independent. Ha Quality and source of shipment(vendor) are dependent
b. H Qualtiy and source of shipment (vendor) are dependent: HA Qualityand source of shipment (vendor) are independent
b-1. Calculate the value of the test statistic, round intermediate calc. to at least 4 dec. places and finalanswer 2 dec. [laces)
b-2. Specify the decision rule at a 1% significance level. ( roun danswer to 3 dec pllaces
b-3 What is your conclusion?
c should the firm be concerned about the source of the shipments?
Explanation / Answer
Ans:
a)H0:quality and source of shiment (vendor) are independent.
Ha Quality and source of shipment(vendor) are dependent
b-1)
Test statistic=12.8031
degree of freedom=(3-1)*(2-1)=2
b-2)critical chi square score=CHIINV(0.01,2)=9.210
b-3)As,calculated chi square score=12.8031>9.210,we Reject null hypothesis.
c)There is sufficient evidence to conlude that quality and source of shipment(vendor) are dependent.
Yes,the firm be concerned about the source of the shipments.
Observed(O) defective Acceptable Total 1 16 133 149 2 25 74 99 3 24 187 211 Total 65 394 459 Expected defective Acceptable Total 1 21.10 127.90 149 2 14.02 84.98 99 3 29.88 181.12 211 Total 65 394 459 (O-E)^2/E defective Acceptable 1 1.2328 0.2034 2 8.6000 1.4188 3 1.1572 0.1909 Total chi square score=12.8031Related Questions
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