Suppose that the true mean,µ1, of an incoming lot of steel bars is 9,050.What is the probability that the quality control inspector will not reject the bars as being what he thinks is the true mean of 9,000 psi,where 9000 is µ0 ? What is the probability of making a type II (beta) error ? Shade this area in on your diagram .The number of observations in the sample is 169.The population standard deviation, σ,is 260 psi.Choose a confidence interval of 98%.What is the probability of not making a type II error, the Power of the Test ? Can you continue on and do a type I,α, error hypothesis test ? Why or why not? This is a Two tail test- H0:µ0=9000 H1: µ0 ≠ 9000

Suppose that the true mean,µ1, of an incoming lot of steel bars is 9,050.What is the probability that the quality control inspector will not reject the bars as being what he thinks is the true mean of 9,000 psi,where 9000 is µ0 ? What is the probability of making a type II (beta) error ? Shade this area in on your diagram .The number of observations in the sample is 169.The population standard deviation, σ,is 260 psi.Choose a confidence interval of 98%.What is the probability of not making a type II error, the Power of the Test ? Can you continue on and do a type I,α, error hypothesis test ? Why or why not? This is a Two tail test- H0:µ0=9000 H1: µ0 ≠ 9000

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.3: Special Probability Density Functions

Problem 8E

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Question

"Suppose that the true mean,µ₁, of an incoming lot of steel bars is 9,050.What is the probability that the quality control inspector will not reject the bars as being what he thinks is the true mean of 9,000 psi,where 9000 is µ₀ ? What is the probability of making a type II (beta) error ? Shade this area in on your diagram .The number of observations in the sample is 169.The population standard deviation, σ,is 260 psi.Choose a confidence interval of 98%.What is the probability of not making a type II error, the Power of the Test ? Can you continue on and do a type I,α, error hypothesis test ? Why or why not?

This is a Two tail test-

H₀:µ₀=9000

H_1:µ₀≠ 9000

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