1. Stating the hypotheses. In each of the following situations a hypothesis test

Question

1. Stating the hypotheses. In each of the following situations a hypothesis test for a population mean ? is called for. Identify the null hypothesis Ho and the alternative hypothesis in each case. Make sure to use proper notation! (e.g. H?: ?-140) (a) A university gives credit in French language courses to students who pass a placement test. The language department wants to know if students who get credit in this way differ in their understanding of spoken French from students who actually take the French courses Experience has shown that the mean score of students in the French courses on a standard listening test is 21. The language department gives the same listening test to a sample of 29 students who passed the placement test to see if their performance is different. (b) Experiments on learning in animals sometimes measure how long it takes a mouse to find its way through a maze. The mean time is 17 seconds for one particular maze. A researcher thinks that a loud noise will cause the mice to complete the maze faster. She measures how long each of 20 mice takes with a noise as stimulus c) The mean area of the several thousand apartments in a new development is advertised to be 1000 square feet. A tenant group thinks that the apartments are smaller than advertised They hire an engineer to measure a sample of apartments to test their suspicion (d) Larry's car averages 39 miles per gallon on the highway. He now switches to a new motor oil that is advertised as increasing gas mileage. After driving 5000 highway miles with the new oil, he wants to determine if his gas mileage actually has increased e) The diameter of a spindle in a small motor is supposed to be 5 millimeters. If the spindle is either too small or too large, the motor will not perform properly. The manufacturer measures the diameter in a sample of motors to determine whether the mean diameter has moved away from the target.

Explanation / Answer

Remember claim always goes in alternative

a) Here the null would be

H0:  ? = 21

b) This is one tailed

Ho:  ? ? 17

c) One tailed

Ho:  ? ? 1000

d) One tailed

Ho: ? ? 39

e) Two tailed

H0:  ? = 5

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