Two chemical companies can supply a raw material. The concentration of a particular element in this material is important. The mean concentration for both suppliers is the same, but you suspect that the variability in concentration may differ for the two companies. The standard deviation of concentration in a random sample of n₁ = 10 batches produced by company 1 is s₁ = 4.7 grams per liter, and for company 2, a random sample of n2 = 16 batches yields s2 = 5.8 grams per liter. Is there sufficient evidence to conclude that the two population variances differ? Use a = 0.05.
Two chemical companies can supply a raw material. The concentration of a particular element in this material is important. The mean concentration for both suppliers is the same, but you suspect that the variability in concentration may differ for the two companies. The standard deviation of concentration in a random sample of n₁ = 10 batches produced by company 1 is s₁ = 4.7 grams per liter, and for company 2, a random sample of n2 = 16 batches yields s2 = 5.8 grams per liter. Is there sufficient evidence to conclude that the two population variances differ? Use a = 0.05.
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![Two chemical companies can supply a raw material. The concentration of a particular element in
this material is important. The mean concentration for both suppliers is the same, but you suspect
that the variability in concentration may differ for the two companies. The standard deviation of
concentration in a random sample of n1 = 10 batches produced by company 1 is s1 = 4.7 grams
per liter, and for company 2, a random sample of n2 = 16 batches yields s2:
=16 batches yields s2 = 5.8 grams per liter.
Is there sufficient evidence to conclude that the two population variances differ? Use a = 0.05.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb9e27b5d-0ab8-428e-954d-97d64fc14c61%2F50a305f7-289c-4150-9479-608839f32cf1%2F8hkst87_processed.png&w=3840&q=75)
Transcribed Image Text:Two chemical companies can supply a raw material. The concentration of a particular element in
this material is important. The mean concentration for both suppliers is the same, but you suspect
that the variability in concentration may differ for the two companies. The standard deviation of
concentration in a random sample of n1 = 10 batches produced by company 1 is s1 = 4.7 grams
per liter, and for company 2, a random sample of n2 = 16 batches yields s2:
=16 batches yields s2 = 5.8 grams per liter.
Is there sufficient evidence to conclude that the two population variances differ? Use a = 0.05.
Expert Solution
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Step 1: Define the parameters
The population variance of concentration of the element by company 1 is σ12 and the population variance of concentration of the element by company 2 is σ22.
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