In the cutting machine problem, for μμ= 1000 mm and σσ = 12 mm, suppose we...

In the cutting machine problem, for $μ$ = 1000 mm and $σ$ = 12 mm, suppose we establish $¯ x$ = 997 mm to $¯ x$ = 1003 mm as our cutoffs for accepting $μ$ = 1000 mm, calculate your Type I error risk and your Type II error risk (for a shift to $μ$ = 995 mm) for,

(a) n=36 (write your answers using a decimal with four decimal places)

Type I error ( $α$ ):

Type II error ( $β)$ :

(b) n=100(write your answers using a decimal with four decimal places)

Type I error ( $α)$ :

Type II error ( $β)$ :

Expert Solution

Type 1 error is defined as the error commited in rejecting the null hypothesis when it is true.

Type 2 error is defined as the error commited in accepting the alternative hypothesis when it is false.

Critical region is the region of values that corresponds to the rejection of the null hypothesis at some chosen probability level.

milcah answered 1 year ago

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