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A study was performed to determine whether men and women differ in their repeata-bility in assembling components on printed circuit boards. Random samples of 25men and 21 women were selected, and each subject assembled the units. What is thesampling distribution for the ratio of the sample varianceS2men/S2women?

Answer :

Answer: The required sampling distribution is 1.1057.

Step-by-step explanation:

Since we have given that

Number of men  [tex]n_1[/tex]= 25

Number of women [tex]n_2[/tex] = 21

And,

[tex]s_{men}=0.98\ minutes\\\\s_{women}=1.02\ minutes[/tex]

So, the sampling distribution for the ratio of the sample variance [tex]\dfrac{S_{men}^2}{S_{women}^2}[/tex]

So, the required ratio would be

[tex]F=\dfrac{S_{men}^2}{S_{women}^2}\\\\F=\dfrac{1.02^2}{0.97^2}\\\\F=1.1057[/tex]

Hence, the required sampling distribution is 1.1057.

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