Answer:
d) 6.750
<em>The chi - square value = 6.750</em>
Step-by-step explanation:
Given data
Starting Position 1 2 3 4 5 6
Number of Wins (O) 33 44 32 36 45 50
<u><em>Step(i) :</em></u>-
mean =
Expected frequency = 40
Number of Wins (O) : 33 44 32 36 45 50
Expected frequency(E) : 40 40 40 40 40 40
(O - E ) : -7 4 -8 -4 5 10
(O-E)² : 49 16 64 16 25 100
: 1.225 0.4 1.6 0.4 0.625 2.5
<u><em>Step(ii):-</em></u>
<u><em>The χ² test</em></u>
<em> χ² = ∑ </em><em></em>
<em> χ² = 1.225 + 0.4 + 1.6 + 0.4 +0.625 +2.5 = 6.75</em>
<em>The chi - square value = 6.750</em>
<u><em>Final answer</em></u><em>:-</em>
<em>The chi - square value = 6.750</em>
<u><em> </em></u>
<u><em></em></u>