The score of 24 randomly selected exams in a geometry class aregiven below:
72 85 62 88 75 65 76 99 74 67 83 50 98 78 90 70 80 55 78 77 7080 68 60
It has been reported that the mean score of all geometry examsis less than 78. Test the validity of the report at α = 0.02 byusing the data given above.
(a) Clearly, state H0 and H1, identify the claim and type oftest.
H0 :
H1 :
b) Find and name all related critical values, draw thedistribution, and clearly mark and shade the criticalregion(s).
(c) Find the computed test statistic and the P-value.
C.T.S. :
P-Value :
(d) Use non-statistical terminology to state your finalconclusion about the claim.
It has also been reported that the standard deviation of allscores in a geometry exam is 10. Test the validity of the report atα = 0.01 by using the data given above.
(e) Clearly, state H0 and H1, identify the claim and type oftest.
H0 :
H1 :
(f) Find and name all related critical values, draw thedistribution, clearly mark and shade the critical region(s).
(g) Find the computed test statistic and the P-value.
C.T.S. :
P-Value :
(h) Use non-statistical terminology to state your finalconclusion about the claim.
