Question

1. Conduct a hypothesis test for the following scenario. SHOW ALL YOUR WORK THE WAY WE DID IN CLASS! Construction zones on highways have a much lower speed limit. To see if drivers obey these lower speed limits, a police officer uses a radar gun to measure the speed in miles per hour of a random sample of 10 drivers in a 30 mph speed zone. Here are the data: 26 28 32 21 27 31 29 22 25 34 Is there convincing evidence at the α = .05 level that the average speed is below the speed limit?

Answer 1

First you want to put the numbers in order 21,22,25,26,27,28,29,31,32,35

Then separate the ones above the limit from below the limit

Above-31,32,35 (a total of 3)

Below-21,22,25,26,27,28,29 (a total of 7)

.5 is equal is 1/2 and over half are below the speed limit

So the average speed is most likely below the speed level

P.S. the average speed is 24.4