7 a) Suppose that X₁, X2, ...X24 are a random sample from a Normal distributio N(µ, σ²), where both μ and o² are unknown. Using this sample, we wish to test Ho µ² = 10 against Hå : o² < 10 using the rejection region RR = {S² : S² < c}. Determin the value of c that will make the test have significance level a = 0.05.

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7 b) Suppose that X₁, X2,
X24 are a random sample from a Normal distribution
N(μ, o2), where both µ and o² are unknown. Using this sample, we wish to test Ho
0² = 10 against Ha: o² < 10 using the rejection region RR = {S²: S² < c}. Determine
the value of c that will make the test have power 0.9 when o² = 2.
Transcribed Image Text:7 b) Suppose that X₁, X2, X24 are a random sample from a Normal distribution N(μ, o2), where both µ and o² are unknown. Using this sample, we wish to test Ho 0² = 10 against Ha: o² < 10 using the rejection region RR = {S²: S² < c}. Determine the value of c that will make the test have power 0.9 when o² = 2.
7 a) Suppose that X₁, X₂, X24 are a random sample from a Normal distribution
N(μ, o2), where both μ and o2 are unknown. Using this sample, we wish to test Ho :
0²: = 10 against H₁ : 0² < 10 using the rejection region RR = {S² : S² < c}. Determine
the value of c that will make the test have significance level a = 0.05.
Transcribed Image Text:7 a) Suppose that X₁, X₂, X24 are a random sample from a Normal distribution N(μ, o2), where both μ and o2 are unknown. Using this sample, we wish to test Ho : 0²: = 10 against H₁ : 0² < 10 using the rejection region RR = {S² : S² < c}. Determine the value of c that will make the test have significance level a = 0.05.
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