Determine whether the outcome is aTypeI error, a Type 2 error, or a Correct decision.A Test is made of Ho: = 20 versus H₁: μ # 20.The True value is 25, and Hy is rejected..

Answered: Determine whether the outcome is a Type…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Determine whether the outcome is a Type I error, a Type Il error, or a correct decision. A test is made of Ho: µ=50 versus H1:µ< 50 . The true value uis 45, and Ho is rejected. O Type Il error O Type I error O Correct decision
A test is made of H0: u=5 vs Ha: u<5. The true value of u is 5, and is rejected. What type of error is this outcome? A. Type I error B. Type II error
Let u denote the true average radioactivity level (picocuries per liter). The value 5 pCi/L is considered the dividing line between safe and unsafe water. Would you recommend testing Ho: u = 5 versus H: H > 5 or Ho: = 5 versus H: u 5. A type II error in this case involves deciding the water is safe when it isn't. This is a very serious error, so a test which ensures that this error is highly unlikely is desirable. We prefer that the most serious error be a type II error because it can be explicitly controlled. O One should test Hn: H = 5 versus H: u 5. A type I error in this case involves deciding the water is safe when it isn't. This is a very serious error, so a test which ensures that this error is highly unlikely is desirable. We prefer that the most serious error be a type I error because it can be explicitly controlled.
Determine whether the outcome is a Type I error, a Type II error, or a correct decision. A test is made of H0: μ = 28 versus H1: μ ≠ 28. The true value of μ is 29 and H0 is rejected.
Based on the statement “Can you conclude that the mean wind speed when it is less than 12m/s? Use α = 0.10.”, it is a _______. I. One tail test on the right-hand side II. One tail test on the left-hand side III. Two tails test on both right-and-left hand sides
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Einar Óli measured the area of scallops in two places in Breiðafjörður and used a t-test to find out if there was a difference in the area of scallops in these two places. Type II error occurred when Einar Óli performed his hypothesis test. What happened?
Glaucoma is a leading cause of blindness in the United States, N. Ehlers measured the difference in corneal thickness (in microns) between the two eyes of eight patients. Each patient had one eye that had glaucoma and one eye that was normal. The difference was measured as the corneal thickness of normal eye – corneal thickness of eye with Glaucoma. Corneal thickness is important because it can mask an accurate reading of eye pressure. Use ? = .05 H0: μd=0 H1: μd≠0 T statistic: t = 1.053, P value = 0.327 Degrees of Freedom n-1 = 8-1= 7 critical value 2.3646 If t is less than 2.3646, or greater than 2.3646, reject the null hypothesis Level of significance: α=0.05 question: what a type 1 error and type 2 error would mean. Is it possible that we could have committed a type 2 error in conducting the test
Glaucoma is a leading cause of blindness in the United States, N. Ehlers measured the difference in corneal thickness (in microns) between the two eyes of eight patients. Each patient had one eye that had glaucoma and one eye that was normal. The difference was measured as the corneal thickness of normal eye – corneal thickness of eye with Glaucoma. Corneal thickness is important because it can mask an accurate reading of eye pressure. Use ? = .05. Q) If a participant has the same corneal thickness in their normal eye as the eye with Glaucoma, what would be the value for difference: measured as the corneal thickness of normal eye – corneal thickness of eye with Glaucoma.
Glaucoma is a leading cause of blindness in the United States, N. Ehlers measured the difference in corneal thickness (in microns) between the two eyes of eight patients. Each patient had one eye that had glaucoma and one eye that was normal. The difference was measured as the corneal thickness of normal eye – corneal thickness of eye with Glaucoma. Corneal thickness is important because it can mask an accurate reading of eye pressure. Use ? = .05. Q)Conduct a hypothesis test to determine if there is sufficient evidence to conclude that corneal thickness is different in normal eyes compared to eyes with glaucoma? Write up your results using the 8 steps.
Glaucoma is a leading cause of blindness in the United States, N. Ehlers measured the difference in corneal thickness (in microns) between the two eyes of eight patients. Each patient had one eye that had glaucoma and one eye that was normal. The difference was measured as the corneal thickness of normal eye – corneal thickness of eye with Glaucoma. Corneal thickness is important because it can mask an accurate reading of eye pressure. Use ? = .05. Hypothesis: H0: μd=0Ha: μd≠0 Using output Test statistics : t=0.134P value=0.897 Degrees of freedom (df): df=7 Level of significance: α=0.05 Decision: P value > 0.05 thus we fails to reject null hypothesis. Question a)Write a report summarizing your findings. When writing the report consider that medical staff estimate that a difference of 4.5 microns or more could impact on their ability to interpret eye pressure correctly. b) Define for the hypothesis stated in part b) what a type 1 error and type 2 error would mean. Is it possible…

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Determine whether the outcome is a Type 1 I error, a Type 2 error, or a Correct decision. A Test is made of Ho: = 20 versus H₁: # 20. The True value is 25, and Hy is rejected..