Answer to Question #345315 in Statistics and Probability for Rhea

Question #345315

Activity 2



Find the rejection region for each hypothesis test based on the information given.



1 H₂ μ = 121



Hah > 121 Η μ=986



2. Ho:μ=986 Ị Hai =27



HaiH <27



a= 0.01



a= 0.05 a= 0.05



n=34



known unknown



n=25 n=12



a known

1
Expert's answer
2022-05-27T14:32:42-0400

1.

H0:μ=121H_0: \mu=121

Ha:μ>121H_a:\mu>121

σ\sigma known, n=34,α=0.01n=34, \alpha=0.01

This corresponds to a right-tailed test, for which a z-test for one mean, with known population standard deviation will be used.


z2.3263z\ge2.3263

2.

H0:μ=986H_0: \mu=986

Ha:μ986H_a:\mu\not=986

σ\sigma unknown, n=25,α=0.5n=25, \alpha=0.5

This corresponds to a two-tailed test, for which a t-test for one mean, with unknown population standard deviation, using the sample standard deviation, will be used.

df=n1=24df=n-1=24 degrees of freedom


t2.0639|t|\ge2.0639

3.

H0:μ=27H_0: \mu=27

Ha:μ<27H_a:\mu<27

σ\sigma known, n=12,α=0.05n=12, \alpha=0.05

This corresponds to a left-tailed test, for which a z-test for one mean, with known population standard deviation will be used.


z1.6449z≤-1.6449


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