A computer chip manufacturer has a machine that produces a new type of computer chip. The company...

A computer chip manufacturer has a machine that produces
a new type of computer chip. The company estimates that on average 5% of the
chips are defective. To test for production stability, 200 chips are sampled in
the order they are manufactured.

a. Compute μ_{R} and σ_{R}.

b. State H_{o} and Ha.

c. Using a significant level of α = 0.05, state a
decision to test if the production is stable.

d. On a given day a sample of 200 chips is taken. Assume
the system is not stable and 8% of the chips are defective. Find the
probability that we conclude the system is stable ( a type II error).

e. If the system is stable, find the probability that a
sample will result in at least 25 runs.