tate the null hypothesis H 0 and the alternative hypothesis H a in each case. Be

Question

tate 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 73. This year 17 students who took second-year calculus passed the placement test.

A- H0: = 17;   Ha: 17

B- H0: = 73;   Ha: 73

C- H0: = 17;   Ha: > 17

D- H0: < 73;   Ha: = 73

E- H0: > 73;   Ha: = 73

(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 19 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 17 mice takes with the rap music as a stimulus.

A- H0: = 19 sec;   Ha: 19 sec

B- H0: > 17 sec;   Ha: = 17 sec

C- H0: = 19 sec;   Ha: > 19 sec

D- H0: = 17 sec;   Ha: < 17 sec

E- H0: = 19 sec;   Ha: < 19 sec

(c) The average square footage of one-bedroom apartments in a new student-housing development is advertised to be 850 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.

A- H0: > 850 ft2;   Ha: = 850 ft2

B- H0: = 850 ft2;   Ha: > 850 ft2

C- H0: < 850 ft2;   Ha: = 850 ft2

D- H0: = 850 ft2;   Ha: < 850 ft2

E- H0: = 850 ft2;   Ha: 850 ft2

Explanation / Answer

a) Since mathematics department wants to know if students who get credit in this way differ in their success with second-year calculus

ans -> B- H0: = 73;   Ha: 73

b) Since researcher thinks that playing rap music will cause the mice to complete the maze slower,

ans -> C- H0: = 19 sec;   Ha: > 19 sec

c) Since the student group thinks that the apartments are smaller than advertised i.e 850 ft2

ans-> D- H0: = 850 ft2;   Ha: < 850 ft2

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