Corn was grown in two different kinds of soils A and B. The heights of the stalks were measured. A sample of 13 stalks from soil A gave a mean height of 6.3 ft and a standard deviation of 1.2 ft. A sample of 16 stalks from soil B gave a mean height of 6.5 ft and a standard deviation of 1.1 ft. Assume the heights are normally distributed. To be specific, assume the heights of stalks from soil A has the distribution N(μA, 02), and the heights of stalks from soil B has the distribution N(μB, O²). (a) Find a 98% confidence interval for the parameter A. (b) Test H₁0A = σB against H₁ : σA ‡ σв at significance level a = 0.10. What is your conclusion? (c) Test H₁ : μA = µÂ against H₁ : µÃ ‡ µÂ at significance level a = 0.02. What is your conclusion?

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Corn was grown in two different kinds of soils A and B. The heights of the stalks
were measured.
A sample of 13 stalks from soil A gave a mean height of 6.3 ft and a standard
deviation of 1.2 ft.
A sample of 16 stalks from soil B gave a mean height of 6.5 ft and a standard
deviation of 1.1 ft.
Assume the heights are normally distributed. To be specific, assume the heights
of stalks from soil A has the distribution N(μÃ, 02), and the heights of stalks from
soil B has the distribution N(µB, 02²/3).
B
(a) Find a 98% confidence interval for the parameter σA.
(b) Test Ho
A = σB against H₁ : σA ‡ σв at significance level a =
ΤΑ
is your conclusion?
= 0.10. What
(c) Test Ho A = μB against H₁ μA ‡µB at significance level a =
:
is your conclusion?
0.02. What
Transcribed Image Text:Corn was grown in two different kinds of soils A and B. The heights of the stalks were measured. A sample of 13 stalks from soil A gave a mean height of 6.3 ft and a standard deviation of 1.2 ft. A sample of 16 stalks from soil B gave a mean height of 6.5 ft and a standard deviation of 1.1 ft. Assume the heights are normally distributed. To be specific, assume the heights of stalks from soil A has the distribution N(μÃ, 02), and the heights of stalks from soil B has the distribution N(µB, 02²/3). B (a) Find a 98% confidence interval for the parameter σA. (b) Test Ho A = σB against H₁ : σA ‡ σв at significance level a = ΤΑ is your conclusion? = 0.10. What (c) Test Ho A = μB against H₁ μA ‡µB at significance level a = : is your conclusion? 0.02. What
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