A teacher finds that final grades in the statistics departme

A teacher finds that final grades in the statistics department are distributed as: A, 25%; B, 25%; C, 40%; D, 5%; F, 5%. At the end of a randomly selected semester, the following grades were recorded. Find the rejection region used to determine if the grade distribution for the department is different than expected. Use a = 0.01. x^2 > 13.277 x^2 > 9.488 x^2 > 7.779 x^2 > 11.143

Solution

Chisquare>9.488 is th enaswer

ChiSquare Test For GoodNess of Fit
Ho: There Is NoSignificance between them Ha: lateral deflection and range are not independent.
Ha:There Is Significance between them
Oi	Ei	Oi-Ei	(Oi-Ei)^2	(Oi-Ei)^2/Ei
36	25	11	121	4.84
42	25	17	289	11.56
60	40	20	400	10
8	5	3	9	1.8
14	5	9	81	16.2
				44.4
^2 Test Statistic =44.4
^2 degrees of freedom = n - 1 = 4, at 5% is 9.488
^2 p_value =0
| ^2 tab | <| ^2 cal | i.e.Reject Ho
There Is Significance between them