The quality control manager of a soda manufacturing company wishes to use a sign

Question

The quality control manager of a soda manufacturing company wishes to use a significant level of 0.05 to test whether the variabilities in the amount of soda in the company's 16 OZ bottles is more than the variabilities in the company's 12 OZ bottles. The following two samples have been randomly collected. What is the critical value of this hypothesis testing problem?

12.069

A.3.22

B.5.00

C.4.10

D.3.23 E.3.29

Sample 1 (16 OZ) Sample 2 (12 OZ) 16.012 12.155 16.014 12.072 16.023 11.954 16.11 12.109 15.9 12.051 15.58 12.125 16.06 12.027 11.872 12.019 12.056

12.069

A.3.22

B.5.00

C.4.10

D.3.23 E.3.29

Explanation / Answer

Ans:

We have to compare the variances of two samples,so we will use F-distribution.

Given that

n1=7,n2=11

df1=7-1=6

df2=11-1=10

significance level=0.05

critical F value=FINV(0.05,6,10)=3.22

Option A is correct(3.22)

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