A waste management service attempts to design routes so that garbage or less. A

Question

A waste management service attempts to design routes so that garbage or less. A particular garbage collector believes, however, that he averages picking up more than four tons of garbage per day and decides to perform a hypothesis test. Identify a Type II error in the context of this hypothesis test. Concluding that the garbage collector picks up on average more than 4 tons of garbage per day when, in fact, he doesn't. Not concluding that the garbage collector picks up on average more than 4 tons of garbage per day when, in fact, he does. Concluding that the garbage collector picks up on average 4 tons of garbage per day when, in fact, he picks up more. Concluding that the garbage collector picks up on average 4 tons of garbage per day when, in fact, he picks up more. Not concluding that the garbage collector picks up on average 4 tons of garbage per day when, in fact, he does.

Explanation / Answer

A type II error is a statistical term used within the context of hypothesis testing that describes the error that occurs when one accepts a null hypothesis that is actually false. The error rejects the alternative hypothesis, even though it does not occur due to chance.

Here H0:mu=4 vs H1:mu>4

Type 2 error is accepting null hypothesis that is false. So here in this case Type 2 error will be Concluding that that garbage collector picks up on average 4 tons of garbage per day when, in fact, he picks up more.

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