7. Julius has conducted a very small study of the amount of sleep his dorm mates

Question

7. Julius has conducted a very small study of the amount of sleep his dorm mates get each night. He believes those who are on one of the school's sports teams will get more sleep than those who are not. Julius surveyed 12 people. Of these, 6 played on a sports team, and 6 did not. The relevant statistics from his survey are given below. Conduct the appropriate statistical test (-05) and indicate your conclusions. Ch 9. Plays Sports (Sample 1) Does Not Play Sports (Sample 2) x, 7.7 x2=6.0 2-2.0 n2 -6 =22 , = 1.3 x.-X

Explanation / Answer

NULL HYPOTHESIS HO: the amount of sleep for students who are in sport's team of the school = the amount of the sleep for students who are not in school's team.

ALTERNATIVEHYPOTHESIS H1: he amount of sleep for students who are in sport's team of the school >the amount of the sleep for students who are not in school's team.

x1bar= 7.7 , x2bar= 6.0 s1=1.3 , s2=2.0 n1= 6 and n2=6

Z= x1bar-x2bar/sqrt(s1^2/n1+s2^2/n2)

Z= 7.7-6/SQRT(1.69/6+4/6)

Z=1.7/SQRT(5.69/6)

Z=1.7/SQRT(0.948333)

Z=1.7/0.973824

Z=1.745

CRIRICAL VALUE OF Z AT ALPHA=0.05 FOR RIGHT TAILED TEST IS 1.645

CONCLUSISON: SINCE THE CALCULATED VALUE OF Z IS GREATER THAN CRITICAL VALUE OF Z, WE REJECT NULL HYPOTHESIS AND CONCLUDE THAT THE AMOUNT OF SLEEP FOR THOSE WO ARE IN SCHOOL' TEAMS IS GREATER THAN WHO ARE NOT IN SCHOOL'S TEAM.   

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