6. A cl ean air standard requires that vehicle exhaust emissions not exceed spec

Question

6. A cl ean air standard requires that vehicle exhaust emissions not exceed specified limits for vario standards. Suppose state regulators double-check a random sample of cars that a suspect repair shop has certified as okay. They will revoke the shop's license if they find significant evidence that the shop us pollutants. Many states require that cars be tested annually to be sure they meet these is certifying vehicles that do not meet standards. a. Write the hypotheses. b. In this context, what is a Type I error? c. In this context, what is a Type Il error? d. Which type of error would the shop's owner consider more serious? e. Which type of error might environmentalists consider more serious? Explain.

Explanation / Answer

State regulators will check vehicles which are certified as okay by shop.

So if they are exceed specified limits then the license will be revoked.

1. Ho:- vehicle do not exceed specified limits

Vs

H1:- vehicles exceeds the specified limit

2. Type I error is reject Ho when it is true.

Here it is they say that vehicle exceeds the specified limits but actually it does not exceed specified limits.

3. Type II error is accept Ho when it is false.

Here it if they say that vehicle does not exceed specified limits but actually it exceeds.

4. Type I error is more serious for the shop owner.

because we conclude that vehicle exceeds the specified limits but actually, it does not exceed specified limits.

So actually their certification by the shop is right but due to error, their license will be revoked for certifying cars which exceed specified limits.

5. Type II error is more serious for environmentalists.

Because we conclude that vehicle does not exceed the specified limits but actually, it exceeds specified limits

So actually their certification by the shop is wrong but due to error their license will be not revoked for certifying cars which does not exceed specified limits.

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