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.
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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbd7c584f-2f64-475c-b65e-2946d9e65273%2F99036673-c8f0-4509-8496-60fca525739f%2Fx67418p_processed.png&w=3840&q=75)
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbd7c584f-2f64-475c-b65e-2946d9e65273%2F99036673-c8f0-4509-8496-60fca525739f%2F1gxgau_processed.png&w=3840&q=75)
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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