State the null hypothesis H 0 and the alternative hypothesis H a in each case. B

Question

State the null hypothesis H0 and the alternative hypothesis Ha in each case. Be sure to identify the parameters that you use to state the hypotheses.

(a) A university gives credit in first-year calculus to students who pass a placement test. The mathematics department wants to know if students who get credit in this way differ in their success with second-year calculus. Scores in second-year calculus are scaled so the average each year is equivalent to a 71. This year 23 students who took second-year calculus passed the placement test.

H0: = 23;   Ha: > 23

H0: > 71;   Ha: = 71

H0: < 71;   Ha: = 71

H0: = 71;   Ha: 71

H0: = 23;   Ha: 23

(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 26 seconds for one particular maze. A researcher thinks that playing rap music will cause the mice to complete the maze slower. She measures how long each of 10 mice takes with the rap music as a stimulus.

H0: > 10 sec;   Ha: = 10 sec

H0: = 26 sec;   Ha: < 26 sec

H0: = 26 sec;   Ha: > 26 sec

H0: = 10 sec;   Ha: < 10 sec

H0: = 26 sec;   Ha: 26 sec

(c) The average square footage of one-bedroom apartments in a new student-housing development is advertised to be 800 square feet. A student group thinks that the apartments are smaller than advertised. They hire an engineer to measure a sample of apartments to test their suspicion.

H0: = 800 ft2;   Ha: 800 ft2

H0: = 800 ft2;   Ha: > 800 ft2

H0: > 800 ft2;   Ha: = 800 ft2

H0: < 800 ft2;   Ha: = 800 ft2

H0: = 800 ft2;   Ha: < 800 ft2

Explanation / Answer

a.The score is being compared
So, H0: = 71; Ha: 71

b. We are takning about time and not the num. of mices
H0: = 26 sec; Ha: > 26 sec

c.
The claim / or the thing which is given in the Qn is always in the alternative hypothesis
H0: = 800 ft2; Ha: < 800 ft2

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