## What is the probability of making a Type II Error if the true mean speed of all cars on thehighway is actually 110 km/h?

We will measure the speeds of a random sample of 40 cars driving on a highway, andconduct a hypothesis test at the 5% level of signi cance to determine whether the truemean speed of all cars driving on the highway is greater than the posted limit of 100km/h. The population standard deviation of speeds is known to be 17 km/h. What is the probability of making a Type II Error if the true mean speed of all cars on thehighway is actually 110 km/h?

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