Consider the Hypotheses $H _ { 0 } : \mu = 950$

question 108

Essay

Consider the hypotheses $H _ { 0 } : \mu = 950$ $H _ { 1 } : \mu \neq 950$ .
Assume that $\mu = 1000 ,$ $\alpha = 0.10$ $\sigma = 200$ , and n = 25 and $\beta$ = 0.6535
When we recalculate $\beta$ if $\alpha$ is lowered from 0.10 to 0.05, β = 0.7604
What is the effect of decreasing the significance level on the value of $\beta$ ?

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