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Consider the Hypotheses H0:μ=950H_ { 0 } : \mu = 950

Question 103

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Consider the hypotheses H0:μ=950H_ { 0 } : \mu = 950 H1:μ950H _ { 1 } : \mu \neq 950 .
Assume that μ=1000\mu = 1000 α=0.10\alpha = 0.10 σ=200\sigma = 200 , and n = 25 and β\beta = 0.6535
when we recalculate β\beta if n is increased from 25 to 4, β = 0.5233.
What is the effect of increasing the sample size on the value of β\beta ?

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