Suppose that the true mean,mu₁(u₁) of an incoming lot of steel bars is9,025..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 mu₀(u₀).What is the probability of making a type II (beta) error ? Show this area in a diagram.The number of observations in the sample is 169.The standard deviation is 260 psi.Choose a confidence interval of90%.What is the probability of not making a type II error ? Can you continue on anddo type I error hypothesis test ? Why or why not?