Question

A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. Calculate the probability of a type II error if the true mean elongation is 11.5 kilograms and

1. α = 0.05 and n = 4
2. α = 0.05 and n = 16

Answer 1

a)

P( Type II error) = P( not rejecting H 0 when it is false)

  

  

  

  

  

b)

P( Type II error) = P( not rejecting H 0 when it is false)