ii) P(Type I error) = P(reject good when batch is good) = P( 2 or more defectives when p = 1%_ = 1 - P(0 or 1 defective) = 1 - (.99^50 + 50*.99^49*0.01)
P(Type II error) = P(fail to reject when defective) = P(0 or 1 defective when p = 0.1) = .9^50 + 50*.9^49*0.1
A firm produces components that are delivered in batches of 2,000. The
firm claims that there are only 1% defective components on average from
its production. However, production occasionally goes out of control and
a batch is produced with 10% defective components. The firm wishes to
intercept these low-quality batches, soa sample of 50 is taken from each
batch and tested. If two or more defective components are found in a
sample then the batch is rejected.
i. Describe the two types of error the firm might make in assessing
batches of components.
ii. Calculate the probability of each type of error given the data
above.
please help URGENTLY
