Question: Suppose that a highway safety researcher makes modifications to the design of a highway sign. The researcher believes that the modifications will make the mean maximum distance at which drivers are able to read the sign greater than 450 feet. The maximum distances (in feet) at which n = 16 drivers can read the sign are as follows:
440, 490, 600, 540, 540, 600, 240, 440, 360, 600, 490, 400, 490, 540, 440, 490
a. Check whether the conditions are met for using a t-test to determine if the mean maximum sign-reading distance at which drivers can read the sign is greater than 450. If they are not met, explain why not.
b. Show all five steps of a hypothesis test, and be sure to state a conclusion. If you determined in part (a) that conditions are not met, make appropriate adjustments before doing the test. Describe any assumptions that you made when carrying out the test. Use a = .05.