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Sagot :
We have evidence that this is not a symmetrical die the standardized residuals is 9.5699.
Given that,
The following frequencies are found for the number of pips up when the die comes to rest, assuming a die is tossed 1000 times. Find out if there is proof that this die is not symmetrical using the chi-squared goodness of fit test. The standardized residuals should be noted.
x₁ x₂ x₃ x₄ x₅ x₆
163 178 142 150 183 184
We know that,
observed expected Op-Ep (Op-Ep)²/Ep
x₁ 163 166.7 -3.7 0.082
x₂ 178 166.7 11.3 0.7659
x₃ 142 166.7 -24.7 3.6598
x₄ 150 166.7 -16.7 1.673
x₅ 183 166.7 16.3 1.5938
x₆ 184 166.7 17.3 1.7954
-----------
9.5699
Expected = 1/nΣXa=1/6(1000)=166.7
Therefore, We have evidence that this is not a symmetrical die the standardized residuals is 9.5699.
To learn more about standard visit: https://brainly.com/question/23907081
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