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

question 116

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 n is increased from 25 to 4, β = 0.5233.
What is the effect of increasing the sample size on the value of $\beta$ ?