Suppose we fail to reject Ho: µ ≥ 50 When the true mean is µ = 53 Given a sample of size n=64 and σ =6 and with α=0.05 Calculate the critical sample mean Xα , the ZX̅α , The probability of type II error β and the power of the hypothesis test P. Calculate X̅α :  Calculate ZX̅α with the true mean µ = 53:  The probability of type II error β:  The power of the hypothesis test P:

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
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Suppose we fail to reject Ho: µ ≥ 50 When the true mean is µ = 53

Given a sample of size n=64 and σ =6 and with α=0.05

Calculate the critical sample mean Xα , the ZX̅α , The probability of type II error β and the power of the hypothesis test P.

Calculate α :

 Calculate ZX̅α with the true mean µ = 53:

 The probability of type II error β:

 The power of the hypothesis test P:

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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,